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256848400402 = 211435321792351
BaseRepresentation
bin1110111100110101011…
…0111001000000010010
3220112222012120122100121
43233031112321000102
513202011142303102
6313554452340454
724361641244456
oct3571526710022
9815865518317
10256848400402
1199a242538a0
124194201472a
131b2b3b55b19
14c608188666
156a34189b37
hex3bcd5b9012

256848400402 has 64 divisors (see below), whose sum is σ = 438573864960. Its totient is φ = 111783672000.

The previous prime is 256848400363. The next prime is 256848400409. The reversal of 256848400402 is 204004848652.

256848400402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2568484004022 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (256848400409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109249527 + ... + 109251877.

It is an arithmetic number, because the mean of its divisors is an integer number (6852716640).

Almost surely, 2256848400402 is an apocalyptic number.

256848400402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

256848400402 is a deficient number, since it is larger than the sum of its proper divisors (181725464558).

256848400402 is a wasteful number, since it uses less digits than its factorization.

256848400402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639.

The product of its (nonzero) digits is 491520, while the sum is 43.

The spelling of 256848400402 in words is "two hundred fifty-six billion, eight hundred forty-eight million, four hundred thousand, four hundred two".

Divisors: 1 2 11 22 43 53 86 106 473 583 946 1166 2179 2279 2351 4358 4558 4702 23969 25069 25861 47938 50138 51722 93697 101093 115487 124603 187394 202186 230974 249206 1030667 1112023 1270357 1370633 2061334 2224046 2540714 2741266 4965941 5122829 5357929 9931882 10245658 10715858 54625351 56351119 58937219 109250702 112702238 117874438 220281647 271509937 440563294 543019874 2423098117 2986609307 4846196234 5973218614 11674927291 23349854582 128424200201 256848400402