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50164352676 = 22342325412
BaseRepresentation
bin101110101110000001…
…110100011010100100
311210111001002011010000
4232232001310122210
51310214033241201
635013432101300
73424055651034
oct565601643244
9153431064100
1050164352676
111a302518709
12987bb34830
134965b25729
1425dc4b38c4
15148900bd86
hexbae0746a4

50164352676 has 135 divisors (see below), whose sum is σ = 137343014193. Its totient is φ = 15964866720.

The previous prime is 50164352669. The next prime is 50164352701. The reversal of 50164352676 is 67625346105.

The square root of 50164352676 is 223974.

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

50164352676 is a `hidden beast` number, since 5 + 0 + 16 + 43 + 526 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19930098276 + 30234254400 = 141174^2 + 173880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 92724966 + ... + 92725506.

Almost surely, 250164352676 is an apocalyptic number.

50164352676 is the 223974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50164352676

50164352676 is an abundant number, since it is smaller than the sum of its proper divisors (87178661517).

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

50164352676 is an equidigital number, since it uses as much as digits as its factorization.

50164352676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 50164352676 in words is "fifty billion, one hundred sixty-four million, three hundred fifty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 541 621 828 1058 1082 1242 1587 1623 1863 2116 2164 2484 3174 3246 3726 4761 4869 6348 6492 7452 9522 9738 12443 14283 14607 19044 19476 24886 28566 29214 37329 42849 43821 49772 57132 58428 74658 85698 87642 111987 149316 171396 175284 223974 286189 292681 335961 447948 572378 585362 671922 858567 878043 1007883 1144756 1170724 1343844 1717134 1756086 2015766 2575701 2634129 3434268 3512172 4031532 5151402 5268258 6731663 7727103 7902387 10302804 10536516 13463326 15454206 15804774 20194989 23181309 23707161 26926652 30908412 31609548 40389978 46362618 47414322 60584967 80779956 92725236 94828644 121169934 154828249 181754901 242339868 309656498 363509802 464484747 545264703 619312996 727019604 928969494 1090529406 1393454241 1857938988 2181058812 2786908482 4180362723 5573816964 8360725446 12541088169 16721450892 25082176338 50164352676