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20968144467328 = 271719507162937
BaseRepresentation
bin1001100010010000001101…
…10011010111010110000000
32202020112110001002012110101
410301020012303113112000
510222020224440423303
6112332344350012144
74262620111144552
oct461100663272600
982215401065411
1020968144467328
1167545a3a05823
1224279251a7054
13b91397952956
14526c13a494d2
15265669b4ad1d
hex131206cd7580

20968144467328 has 64 divisors (see below), whose sum is σ = 46557557708400. Its totient is φ = 9348027236352.

The previous prime is 20968144467317. The next prime is 20968144467337. The reversal of 20968144467328 is 82376444186902.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20968144467328.

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, 253540125 + ... + 253622812.

Almost surely, 220968144467328 is an apocalyptic number.

It is an amenable number.

20968144467328 is an abundant number, since it is smaller than the sum of its proper divisors (25589413241072).

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

20968144467328 is a wasteful number, since it uses less digits than its factorization.

20968144467328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507162987 (or 507162975 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 64.

The spelling of 20968144467328 in words is "twenty trillion, nine hundred sixty-eight billion, one hundred forty-four million, four hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 5168 10336 20672 41344 507162937 1014325874 2028651748 4057303496 8114606992 8621769929 9636095803 16229213984 17243539858 19272191606 32458427968 34487079716 38544383212 64916855936 68974159432 77088766424 137948318864 154177532848 163813628651 275896637728 308355065696 327627257302 551793275456 616710131392 655254514604 1103586550912 1233420262784 1310509029208 2621018058416 5242036116832 10484072233664 20968144467328