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20973871067136 = 212313131296769
BaseRepresentation
bin1001100010011010111000…
…01000100111000000000000
32202021002020010200121120120
410301031130020213000000
510222113441443122021
6112335132514540240
74263212035351041
oct461153410470000
982232203617516
1020973871067136
116756a7247aa39
122428a62b97680
13b91a9b1a5050
145271d840a8c8
152658a277b2c6
hex13135c227000

20973871067136 has 104 divisors (see below), whose sum is σ = 60225303211920. Its totient is φ = 6453498740736.

The previous prime is 20973871067129. The next prime is 20973871067153. The reversal of 20973871067136 is 63176017837902.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-2 number, since 2×209738710671362 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20973871067136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65488641 + ... + 65808128.

Almost surely, 220973871067136 is an apocalyptic number.

20973871067136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20973871067136 is an abundant number, since it is smaller than the sum of its proper divisors (39251432144784).

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

20973871067136 is a wasteful number, since it uses less digits than its factorization.

20973871067136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131296809 (or 131296787 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 20973871067136 in words is "twenty trillion, nine hundred seventy-three billion, eight hundred seventy-one million, sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 9984 12288 13312 19968 26624 39936 53248 79872 159744 131296769 262593538 393890307 525187076 787780614 1050374152 1575561228 1706857997 2100748304 3151122456 3413715994 4201496608 5120573991 6302244912 6827431988 8402993216 10241147982 12604489824 13654863976 16805986432 20482295964 25208979648 27309727952 33611972864 40964591928 50417959296 54619455904 67223945728 81929183856 100835918592 109238911808 134447891456 163858367712 201671837184 218477823616 268895782912 327716735424 403343674368 436955647232 537791565824 655433470848 806687348736 873911294464 1310866941696 1613374697472 1747822588928 2621733883392 3495645177856 5243467766784 6991290355712 10486935533568 20973871067136