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211571707152 = 243131923337649
BaseRepresentation
bin1100010100001010101…
…0000000110100010000
3202020002210111022111210
43011002222000310100
511431244324112102
6241110015540120
721166641560361
oct3050252006420
9666083438453
10211571707152
11817aa793043
1235006b2a640
1316c49817480
14a350c91b68
1557842e336c
hex3142a80d10

211571707152 has 160 divisors (see below), whose sum is σ = 619929072000. Its totient is φ = 61638230016.

The previous prime is 211571707147. The next prime is 211571707157. The reversal of 211571707152 is 251707175112.

211571707152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211571707147) and next prime (211571707157).

It is a super-2 number, since 2×2115717071522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 211571707152.

It is not an unprimeable number, because it can be changed into a prime (211571707157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27656224 + ... + 27663872.

It is an arithmetic number, because the mean of its divisors is an integer number (3874556700).

Almost surely, 2211571707152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211571707152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309964536000).

211571707152 is an abundant number, since it is smaller than the sum of its proper divisors (408357364848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211571707152 is a wasteful number, since it uses less digits than its factorization.

211571707152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 39.

The spelling of 211571707152 in words is "two hundred eleven billion, five hundred seventy-one million, seven hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2333 2964 3952 4666 5928 6999 7649 9332 11856 13998 15298 18664 22947 27996 30329 30596 37328 44327 45894 55992 60658 61192 88654 90987 91788 99437 111984 121316 122384 132981 145331 177308 181974 183576 198874 242632 265962 290662 298311 354616 363948 367152 397748 435993 485264 531924 576251 581324 596622 709232 727896 795496 871986 1063848 1152502 1162648 1193244 1455792 1590992 1728753 1743972 1889303 2127696 2305004 2325296 2386488 3457506 3487944 3778606 4610008 4772976 5667909 6915012 6975888 7557212 9220016 11335818 13830024 15114424 17845117 22671636 27660048 30228848 35690234 45343272 53535351 71380468 90686544 107070702 142760936 214141404 231986521 285521872 339057223 428282808 463973042 678114446 695959563 856565616 927946084 1017171669 1356228892 1391919126 1855892168 2034343338 2712457784 2783838252 3711784336 4068686676 4407743899 5424915568 5567676504 8137373352 8815487798 11135353008 13223231697 16274746704 17630975596 26446463394 35261951192 52892926788 70523902384 105785853576 211571707152