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172100127480 = 233547259111777
BaseRepresentation
bin1010000001000111110…
…1111000101011111000
3121110012221202022102120
42200101331320223320
510304430113034410
6211021155001240
715301541642541
oct2402175705370
9543187668376
10172100127480
1166a95043016
122942bb99220
13132c908ac78
1484889574c8
154723dda570
hex2811f78af8

172100127480 has 128 divisors (see below), whose sum is σ = 527533793280. Its totient is φ = 44895764480.

The previous prime is 172100127457. The next prime is 172100127481. The reversal of 172100127480 is 84721001271.

172100127480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172100127481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14607352 + ... + 14619128.

It is an arithmetic number, because the mean of its divisors is an integer number (4121357760).

Almost surely, 2172100127480 is an apocalyptic number.

172100127480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172100127480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263766896640).

172100127480 is an abundant number, since it is smaller than the sum of its proper divisors (355433665800).

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

172100127480 is a wasteful number, since it uses less digits than its factorization.

172100127480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14429 (or 14425 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The spelling of 172100127480 in words is "one hundred seventy-two billion, one hundred million, one hundred twenty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2591 2820 5182 5640 7773 10364 11777 12955 15546 20728 23554 25910 31092 35331 38865 47108 51820 58885 62184 70662 77730 94216 103640 117770 121777 141324 155460 176655 235540 243554 282648 310920 353310 365331 471080 487108 553519 608885 706620 730662 974216 1107038 1217770 1413240 1461324 1660557 1826655 2214076 2435540 2767595 2922648 3321114 3653310 4428152 4871080 5535190 6642228 7306620 8302785 11070380 13284456 14613240 16605570 22140760 30514207 33211140 61028414 66422280 91542621 122056828 152571035 183085242 244113656 305142070 366170484 457713105 610284140 732340968 915426210 1220568280 1434167729 1830852420 2868335458 3661704840 4302503187 5736670916 7170838645 8605006374 11473341832 14341677290 17210012748 21512515935 28683354580 34420025496 43025031870 57366709160 86050063740 172100127480