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31664200355340 = 22357106677067681
BaseRepresentation
bin1110011001100011001010…
…11010100000111000001100
311011010001211120021012111220
413030301211122200320030
513122241240242332330
6151202155520243340
76445443255122010
oct714614532407014
9134101746235456
1031664200355340
11a0a8791686753
123674898770550
131488bc9093b17
147b67ac316540
1539d9d2760710
hex1ccc656a0e0c

31664200355340 has 96 divisors (see below), whose sum is σ = 101334954438144. Its totient is φ = 7236851988480.

The previous prime is 31664200355321. The next prime is 31664200355353. The reversal of 31664200355340 is 4355300246613.

It is a super-2 number, since 2×316642003553402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 31664200355292 and 31664200355301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946300 + ... + 8013980.

It is an arithmetic number, because the mean of its divisors is an integer number (1055572442064).

Almost surely, 231664200355340 is an apocalyptic number.

31664200355340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31664200355340 is an abundant number, since it is smaller than the sum of its proper divisors (69670754082804).

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

31664200355340 is a wasteful number, since it uses less digits than its factorization.

31664200355340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7078367 (or 7078365 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 31664200355340 in words is "thirty-one trillion, six hundred sixty-four billion, two hundred million, three hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 10667 21334 32001 42668 53335 64002 74669 106670 128004 149338 160005 213340 224007 298676 320010 373345 448014 640020 746690 896028 1120035 1493380 2240070 4480140 7067681 14135362 21203043 28270724 35338405 42406086 49473767 70676810 84812172 98947534 106015215 141353620 148421301 197895068 212030430 247368835 296842602 424060860 494737670 593685204 742106505 989475340 1484213010 2968426020 75390953227 150781906454 226172859681 301563812908 376954766135 452345719362 527736672589 753909532270 904691438724 1055473345178 1130864298405 1507819064540 1583210017767 2110946690356 2261728596810 2638683362945 3166420035534 4523457193620 5277366725890 6332840071068 7916050088835 10554733451780 15832100177670 31664200355340