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476428496644 = 2256326132
BaseRepresentation
bin1101110111011010101…
…10011110111100000100
31200112202010021021102201
412323231112132330010
530301211143343034
61002511312044244
746264225255252
oct6735526367404
91615663237381
10476428496644
11174063514111
1278402b33684
1335c0885c959
14190b88895d2
15c5d6584014
hex6eed59ef04

476428496644 has 27 divisors (see below), whose sum is σ = 836598161973. Its totient is φ = 237403218672.

The previous prime is 476428496639. The next prime is 476428496653. The reversal of 476428496644 is 446694824674.

It is a happy number.

The square root of 476428496644 is 690238.

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., 1553148100 + 474875348544 = 39410^2 + 689112^2 .

It is a super-2 number, since 2×4764284966442 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 777207682 + ... + 777208294.

Almost surely, 2476428496644 is an apocalyptic number.

476428496644 is the 690238-th square number.

It is an amenable number.

476428496644 is a deficient number, since it is larger than the sum of its proper divisors (360169665329).

476428496644 is an frugal number, since it uses more digits than its factorization.

With its predecessor (476428496643) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1178).

476428496644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 1178 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 64.

Multiplying 476428496644 by its sum of digits (64), we get a square (30491423785216 = 55219042).

The spelling of 476428496644 in words is "four hundred seventy-six billion, four hundred twenty-eight million, four hundred ninety-six thousand, six hundred forty-four".

Divisors: 1 2 4 563 613 1126 1226 2252 2452 316969 345119 375769 633938 690238 751538 1267876 1380476 1503076 194301997 211557947 388603994 423115894 777207988 846231788 119107124161 238214248322 476428496644