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47429870656 = 267238892
BaseRepresentation
bin101100001011000010…
…100110010001000000
311112102110200001222011
4230023002212101000
51234114021330111
633442230422304
73266233151200
oct541302462100
9145373601864
1047429870656
1119129a1a913
129238201994
13461b457c2c
14241d266400
151378e15021
hexb0b0a6440

47429870656 has 63 divisors (see below), whose sum is σ = 109513119429. Its totient is φ = 20321860608.

The previous prime is 47429870623. The next prime is 47429870711. The reversal of 47429870656 is 65607892474.

It is a happy number.

The square root of 47429870656 is 217784.

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., 34379093056 + 13050777600 = 185416^2 + 114240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47429870656.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12193960 + ... + 12197848.

It is an arithmetic number, because the mean of its divisors is an integer number (1738303483).

Almost surely, 247429870656 is an apocalyptic number.

47429870656 is the 217784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47429870656

47429870656 is an abundant number, since it is smaller than the sum of its proper divisors (62083248773).

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

47429870656 is an frugal number, since it uses more digits than its factorization.

47429870656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7804 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 47429870656 in words is "forty-seven billion, four hundred twenty-nine million, eight hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3889 7778 15556 27223 31112 54446 62224 108892 124448 190561 217784 248896 381122 435568 762244 871136 1524488 1742272 3048976 6097952 12195904 15124321 30248642 60497284 105870247 120994568 211740494 241989136 423480988 483978272 741091729 846961976 967956544 1482183458 1693923952 2964366916 3387847904 5928733832 6775695808 11857467664 23714935328 47429870656