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31936970434980 = 22351326689470863
BaseRepresentation
bin1110100001011111001111…
…10001110010100110100100
311012002010220101021221210010
413100233213301302212210
513141223403412404410
6151531350333530220
76504240620416422
oct720574761624644
9135063811257703
1031936970434980
11a1a3436240836
1236b9722943970
1314a88496acc00
147c5a86c86112
153a5b495bec20
hex1d0be7c729a4

31936970434980 has 144 divisors (see below), whose sum is σ = 96846064439040. Its totient is φ = 7860216139776.

The previous prime is 31936970434867. The next prime is 31936970434981. The reversal of 31936970434980 is 8943407963913.

It is a super-2 number, since 2×319369704349802 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31936970434981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67591029 + ... + 68061891.

It is an arithmetic number, because the mean of its divisors is an integer number (672542114160).

Almost surely, 231936970434980 is an apocalyptic number.

31936970434980 is a gapful number since it is divisible by the number (30) 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 31936970434980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48423032219520).

31936970434980 is an abundant number, since it is smaller than the sum of its proper divisors (64909094004060).

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

31936970434980 is a wasteful number, since it uses less digits than its factorization.

31936970434980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477590 (or 477575 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 66.

The spelling of 31936970434980 in words is "thirty-one trillion, nine hundred thirty-six billion, nine hundred seventy million, four hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 6689 10140 13378 20067 26756 33445 40134 66890 80268 86957 100335 133780 173914 200670 260871 347828 401340 434785 470863 521742 869570 941726 1043484 1130441 1304355 1412589 1739140 1883452 2260882 2354315 2608710 2825178 3391323 4521764 4708630 5217420 5650356 5652205 6121219 6782646 7062945 9417260 11304410 12242438 13565292 14125890 16956615 18363657 22608820 24484876 28251780 30606095 33913230 36727314 61212190 67826460 73454628 79575847 91818285 122424380 159151694 183636570 238727541 318303388 367273140 397879235 477455082 795758470 954910164 1193637705 1591516940 2387275410 3149602607 4774550820 6299205214 9448807821 12598410428 15748013035 18897615642 31496026070 37795231284 40944833891 47244039105 62992052140 81889667782 94488078210 122834501673 163779335564 188976156420 204724169455 245669003346 409448338910 491338006692 532282840583 614172508365 818896677820 1064565681166 1228345016730 1596848521749 2129131362332 2456690033460 2661414202915 3193697043498 5322828405830 6387394086996 7984242608745 10645656811660 15968485217490 31936970434980