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246420902464 = 2611256412
BaseRepresentation
bin1110010101111111010…
…1001001001001000000
3212120001111101212022021
43211133311021021000
513014132222334324
6305112035051224
723542353053032
oct3453765111100
9776044355267
10246420902464
11955631a2300
123b911a40b14
131a311719bb9
14bcd9343c52
1566239d5ae4
hex395fd49240

246420902464 has 63 divisors (see below), whose sum is σ = 537581799993. Its totient is φ = 111989644800.

The previous prime is 246420902461. The next prime is 246420902479. The reversal of 246420902464 is 464209024642.

The square root of 246420902464 is 496408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 243633062464 + 2787840000 = 493592^2 + 52800^2 .

It is a super-2 number, since 2×2464209024642 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 246420902464.

It is not an unprimeable number, because it can be changed into a prime (246420902461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43681084 + ... + 43686724.

Almost surely, 2246420902464 is an apocalyptic number.

246420902464 is the 496408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246420902464

246420902464 is an abundant number, since it is smaller than the sum of its proper divisors (291160897529).

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

246420902464 is an frugal number, since it uses more digits than its factorization.

246420902464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11316 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 246420902464 in words is "two hundred forty-six billion, four hundred twenty million, nine hundred two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 5641 7744 11282 22564 45128 62051 90256 124102 180512 248204 361024 496408 682561 992816 1365122 1985632 2730244 3971264 5460488 10920976 21841952 31820881 43683904 63641762 127283524 254567048 350029691 509134096 700059382 1018268192 1400118764 2036536384 2800237528 3850326601 5600475056 7700653202 11200950112 15401306404 22401900224 30802612808 61605225616 123210451232 246420902464