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6949964326464 = 263246725837067
BaseRepresentation
bin110010100100010101000…
…1001111010011001000000
3220121102001222000101212100
41211020222021322121000
51402332011331421324
622440434115230400
71315055411026035
oct145105211723100
926542058011770
106949964326464
11223a51074a235
12942b48ba8400
133b54c0378403
141a0546c9b38c
15c0bb7b5e4c9
hex6522a27a640

6949964326464 has 84 divisors (see below), whose sum is σ = 19963475657424. Its totient is φ = 2311693969152.

The previous prime is 6949964326453. The next prime is 6949964326469. The reversal of 6949964326464 is 4646234699496.

It is a happy number.

6949964326464 is a `hidden beast` number, since 6 + 9 + 49 + 96 + 4 + 32 + 6 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6949964326392 and 6949964326401.

It is not an unprimeable number, because it can be changed into a prime (6949964326469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12649542 + ... + 13187525.

Almost surely, 26949964326464 is an apocalyptic number.

6949964326464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6949964326464 is an abundant number, since it is smaller than the sum of its proper divisors (13013511330960).

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

6949964326464 is a wasteful number, since it uses less digits than its factorization.

6949964326464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25837552 (or 25837539 counting only the distinct ones).

The product of its digits is 1451188224, while the sum is 72.

The spelling of 6949964326464 in words is "six trillion, nine hundred forty-nine billion, nine hundred sixty-four million, three hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 467 576 934 1401 1868 2802 3736 4203 5604 7472 8406 11208 14944 16812 22416 29888 33624 44832 67248 89664 134496 268992 25837067 51674134 77511201 103348268 155022402 206696536 232533603 310044804 413393072 465067206 620089608 826786144 930134412 1240179216 1653572288 1860268824 2480358432 3720537648 4960716864 7441075296 12065910289 14882150592 24131820578 36197730867 48263641156 72395461734 96527282312 108593192601 144790923468 193054564624 217186385202 289581846936 386109129248 434372770404 579163693872 772218258496 868745540808 1158327387744 1737491081616 2316654775488 3474982163232 6949964326464