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616923793408 = 21113139166703
BaseRepresentation
bin10001111101000111000…
…01100000100000000000
32011222101110221211121111
420332203201200200000
540101424442342113
61151224425533104
762366642502406
oct10764341404000
92158343854544
10616923793408
112186aa44201a
129b692644194
1346238c1b050
1421c05ba7476
15110aa9e013d
hex8fa3860800

616923793408 has 96 divisors (see below), whose sum is σ = 1337999644800. Its totient is φ = 282683916288.

The previous prime is 616923793373. The next prime is 616923793411. The reversal of 616923793408 is 804397329616.

It is a happy number.

It is a super-3 number, since 3×6169237934083 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3617385 + ... + 3784087.

It is an arithmetic number, because the mean of its divisors is an integer number (13937496300).

Almost surely, 2616923793408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616923793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668999822400).

616923793408 is an abundant number, since it is smaller than the sum of its proper divisors (721075851392).

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

616923793408 is a wasteful number, since it uses less digits than its factorization.

616923793408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166877 (or 166857 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 616923793408 in words is "six hundred sixteen billion, nine hundred twenty-three million, seven hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 256 278 416 512 556 832 1024 1112 1664 1807 2048 2224 3328 3614 4448 6656 7228 8896 13312 14456 17792 26624 28912 35584 57824 71168 115648 142336 166703 231296 284672 333406 462592 666812 925184 1333624 1850368 2167139 2667248 3700736 4334278 5334496 8668556 10668992 17337112 21337984 23171717 34674224 42675968 46343434 69348448 85351936 92686868 138696896 170703872 185373736 277393792 301232321 341407744 370747472 554787584 602464642 741494944 1109575168 1204929284 1482989888 2219150336 2409858568 2965979776 4438300672 4819717136 5931959552 9639434272 11863919104 19278868544 23727838208 38557737088 47455676416 77115474176 154230948352 308461896704 616923793408