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20151495378 = 23273121631021
BaseRepresentation
bin10010110001000111…
…110110101011010010
31221000101121000211200
4102301013312223102
5312232240323003
613131340252030
71312241612250
oct226107665322
957011530750
1020151495378
118600aa2813
123aa4841016
131b91bab381
14d9247d5d0
157ce1e36a3
hex4b11f6ad2

20151495378 has 144 divisors (see below), whose sum is σ = 51927640128. Its totient is φ = 5532235200.

The previous prime is 20151495281. The next prime is 20151495421. The reversal of 20151495378 is 87359415102.

20151495378 is a `hidden beast` number, since 2 + 0 + 151 + 495 + 3 + 7 + 8 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19736508 + ... + 19737528.

It is an arithmetic number, because the mean of its divisors is an integer number (360608612).

Almost surely, 220151495378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20151495378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25963820064).

20151495378 is an abundant number, since it is smaller than the sum of its proper divisors (31776144750).

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

20151495378 is a wasteful number, since it uses less digits than its factorization.

20151495378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 20151495378 in words is "twenty billion, one hundred fifty-one million, four hundred ninety-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 163 186 217 279 326 434 489 558 651 961 978 1021 1141 1302 1467 1922 1953 2042 2282 2883 2934 3063 3423 3906 5053 5766 6126 6727 6846 7147 8649 9189 10106 10269 13454 14294 15159 17298 18378 20181 20538 21441 30318 31651 35371 40362 42882 45477 60543 63302 64323 70742 90954 94953 106113 121086 128646 156643 166423 189906 212226 221557 284859 313286 318339 332846 443114 469929 499269 569718 636678 664671 939858 981181 998538 1096501 1164961 1329342 1409787 1497807 1962362 1994013 2193002 2329922 2819574 2943543 2995614 3289503 3494883 3988026 5159113 5887086 6579006 6868267 6989766 8830629 9868509 10318226 10484649 13736534 15477339 17661258 19737018 20604801 20969298 30954678 36113791 41209602 46432017 61814403 72227582 92864034 108341373 123628806 159932503 216682746 319865006 325024119 479797509 650048238 959595018 1119527521 1439392527 2239055042 2878785054 3358582563 6717165126 10075747689 20151495378