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31677202980 = 2235510363281
BaseRepresentation
bin11101100000000110…
…111100001000100100
310000202122020122100000
4131200012330020210
51004333330443410
622315144221300
72200663532313
oct354006741044
9100678218300
1031677202980
1112485a564a5
12618076a830
132caa9bc0b7
1417670b827a
15c55ec7dc0
hex7601bc224

31677202980 has 144 divisors (see below), whose sum is σ = 100615342464. Its totient is φ = 8365109760.

The previous prime is 31677202979. The next prime is 31677202993. The reversal of 31677202980 is 8920277613.

It is a super-2 number, since 2×316772029802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468940 + ... + 532220.

It is an arithmetic number, because the mean of its divisors is an integer number (698717656).

Almost surely, 231677202980 is an apocalyptic number.

31677202980 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 31677202980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50307671232).

31677202980 is an abundant number, since it is smaller than the sum of its proper divisors (68938139484).

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

31677202980 is a wasteful number, since it uses less digits than its factorization.

31677202980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63408 (or 63394 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 31677202980 in words is "thirty-one billion, six hundred seventy-seven million, two hundred two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 162 180 206 243 270 309 324 405 412 486 515 540 618 810 927 972 1030 1215 1236 1545 1620 1854 2060 2430 2781 3090 3708 4635 4860 5562 6180 8343 9270 11124 13905 16686 18540 25029 27810 33372 41715 50058 55620 63281 83430 100116 125145 126562 166860 189843 250290 253124 316405 379686 500580 569529 632810 759372 949215 1139058 1265620 1708587 1898430 2278116 2847645 3417174 3796860 5125761 5695290 6517943 6834348 8542935 10251522 11390580 13035886 15377283 17085870 19553829 20503044 25628805 26071772 30754566 32589715 34171740 39107658 51257610 58661487 61509132 65179430 76886415 78215316 97769145 102515220 117322974 130358860 153772830 175984461 195538290 234645948 293307435 307545660 351968922 391076580 527953383 586614870 703937844 879922305 1055906766 1173229740 1583860149 1759844610 2111813532 2639766915 3167720298 3519689220 5279533830 6335440596 7919300745 10559067660 15838601490 31677202980