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31066206640 = 2457174769431
BaseRepresentation
bin11100111011101100…
…001011000110110000
32222012001112210220221
4130323230023012300
51002110422103030
622134400342424
72146564254010
oct347354130660
988161483827
1031066206640
11121a2077947
126030014a14
132c112432c1
141709cabc40
15c1c536e7a
hex73bb0b1b0

31066206640 has 160 divisors (see below), whose sum is σ = 89264001024. Its totient is φ = 9811292160.

The previous prime is 31066206629. The next prime is 31066206643. The reversal of 31066206640 is 4660266013.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 31066206596 and 31066206605.

It is not an unprimeable number, because it can be changed into a prime (31066206643) 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, 412725 + ... + 482155.

Almost surely, 231066206640 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 31066206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44632000512).

31066206640 is an abundant number, since it is smaller than the sum of its proper divisors (58197794384).

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

31066206640 is a wasteful number, since it uses less digits than its factorization.

31066206640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69515 (or 69509 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 31066206640 in words is "thirty-one billion, sixty-six million, two hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 47 56 68 70 80 85 94 112 119 136 140 170 188 235 238 272 280 329 340 376 470 476 560 595 658 680 752 799 940 952 1190 1316 1360 1598 1645 1880 1904 2380 2632 3196 3290 3760 3995 4760 5264 5593 6392 6580 7990 9520 11186 12784 13160 15980 22372 26320 27965 31960 44744 55930 63920 69431 89488 111860 138862 223720 277724 347155 447440 486017 555448 694310 972034 1110896 1180327 1388620 1944068 2360654 2430085 2777240 3263257 3888136 4721308 4860170 5554480 5901635 6526514 7776272 8262289 9442616 9720340 11803270 13053028 16316285 16524578 18885232 19440680 22842799 23606540 26106056 32632570 33049156 38881360 41311445 45685598 47213080 52212112 55475369 65265140 66098312 82622890 91371196 94426160 110950738 114213995 130530280 132196624 165245780 182742392 221901476 228427990 261060560 277376845 330491560 365484784 388327583 443802952 456855980 554753690 660983120 776655166 887605904 913711960 1109507380 1553310332 1827423920 1941637915 2219014760 3106620664 3883275830 4438029520 6213241328 7766551660 15533103320 31066206640