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5216460576 = 253107523971
BaseRepresentation
bin1001101101110110…
…01101111100100000
3111110112200122122120
410312323031330200
541140403214301
62221342504240
7243161116605
oct46673157440
914415618576
105216460576
112237613048
121016b95080
1365195a282
14376b2a6ac
15207e62e36
hex136ecdf20

5216460576 has 96 divisors (see below), whose sum is σ = 13861870848. Its totient is φ = 1717505280.

The previous prime is 5216460569. The next prime is 5216460617. The reversal of 5216460576 is 6750646125.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×52164605762 = 54422921881924503552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5371771 + ... + 5372741.

It is an arithmetic number, because the mean of its divisors is an integer number (144394488).

Almost surely, 25216460576 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 5216460576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930935424).

5216460576 is an abundant number, since it is smaller than the sum of its proper divisors (8645410272).

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

5216460576 is a wasteful number, since it uses less digits than its factorization.

5216460576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 5216460576 is about 72225.0688888560. The cubic root of 5216460576 is about 1734.3043357649.

The spelling of 5216460576 in words is "five billion, two hundred sixteen million, four hundred sixty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 523 642 856 971 1046 1284 1569 1712 1942 2092 2568 2913 3138 3424 3884 4184 5136 5826 6276 7768 8368 10272 11652 12552 15536 16736 23304 25104 31072 46608 50208 55961 93216 103897 111922 167883 207794 223844 311691 335766 415588 447688 507833 623382 671532 831176 895376 1015666 1246764 1343064 1523499 1662352 1790752 2031332 2493528 2686128 3046998 3324704 4062664 4987056 5372256 6093996 8125328 9974112 12187992 16250656 24375984 48751968 54338131 108676262 163014393 217352524 326028786 434705048 652057572 869410096 1304115144 1738820192 2608230288 5216460576