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46214998272 = 283225778049
BaseRepresentation
bin101011000010101000…
…001110100100000000
311102021210200011100200
4223002220032210000
51224122014421042
633121511445200
73224152001202
oct530250164400
9142253604320
1046214998272
1118666186253
128b59386800
134486857231
142345b84772
15130743cc4c
hexac2a0e900

46214998272 has 108 divisors (see below), whose sum is σ = 133769426700. Its totient is φ = 15344861184.

The previous prime is 46214998267. The next prime is 46214998283. The reversal of 46214998272 is 27289941264.

It is a happy number.

46214998272 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 499 + 82 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31490631936 + 14724366336 = 177456^2 + 121344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 553104 + ... + 631152.

Almost surely, 246214998272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46214998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66884713350).

46214998272 is an abundant number, since it is smaller than the sum of its proper divisors (87554428428).

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

46214998272 is a wasteful number, since it uses less digits than its factorization.

46214998272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78328 (or 78311 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 46214998272 in words is "forty-six billion, two hundred fourteen million, nine hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 257 288 384 514 576 768 771 1028 1152 1542 2056 2304 2313 3084 4112 4626 6168 8224 9252 12336 16448 18504 24672 32896 37008 49344 65792 74016 78049 98688 148032 156098 197376 234147 296064 312196 468294 592128 624392 702441 936588 1248784 1404882 1873176 2497568 2809764 3746352 4995136 5619528 7492704 9990272 11239056 14985408 19980544 20058593 22478112 29970816 40117186 44956224 59941632 60175779 80234372 89912448 120351558 160468744 179824896 180527337 240703116 320937488 361054674 481406232 641874976 722109348 962812464 1283749952 1444218696 1925624928 2567499904 2888437392 3851249856 5134999808 5776874784 7702499712 11553749568 15404999424 23107499136 46214998272