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137476891872 = 2533198374567
BaseRepresentation
bin1000000000001001000…
…0101110010011100000
3111010212000000201002000
42000002100232103200
54223023041014442
6143053410524000
712634543204635
oct2000220562340
9433760021060
10137476891872
1153338137711
1222788896600
13cc6bc317c8
1469224c418c
15389947dd4c
hex200242e4e0

137476891872 has 96 divisors (see below), whose sum is σ = 422078227200. Its totient is φ = 43413750144.

The previous prime is 137476891861. The next prime is 137476891889. The reversal of 137476891872 is 278198674731.

137476891872 is a `hidden beast` number, since 1 + 3 + 7 + 476 + 8 + 91 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4170868 + ... + 4203699.

It is an arithmetic number, because the mean of its divisors is an integer number (4396648200).

Almost surely, 2137476891872 is an apocalyptic number.

137476891872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137476891872 is an abundant number, since it is smaller than the sum of its proper divisors (284601335328).

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

137476891872 is a wasteful number, since it uses less digits than its factorization.

137476891872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374605 (or 8374591 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 137476891872 in words is "one hundred thirty-seven billion, four hundred seventy-six million, eight hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 8374567 16749134 25123701 33498268 50247402 66996536 75371103 100494804 133993072 150742206 159116773 200989608 226113309 267986144 301484412 318233546 401979216 452226618 477350319 602968824 636467092 803958432 904453236 954700638 1205937648 1272934184 1432050957 1808906472 1909401276 2411875296 2545868368 2864101914 3617812944 3818802552 4296152871 5091736736 5728203828 7235625888 7637605104 8592305742 11456407656 15275210208 17184611484 22912815312 34369222968 45825630624 68738445936 137476891872