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378832471052 = 2271931220310427
BaseRepresentation
bin1011000001101000010…
…11001100010000001100
31100012211111010111010012
411200310023030100030
522201322103033202
6450011102332352
736240551605430
oct5406413142014
91305744114105
10378832471052
11136731065622
126150628a0b8
13299540cab99
141449ac009c0
159cc3408152
hex58342cc40c

378832471052 has 96 divisors (see below), whose sum is σ = 823721902080. Its totient is φ = 148768176960.

The previous prime is 378832471049. The next prime is 378832471093. The reversal of 378832471052 is 250174238873.

It is a super-3 number, since 3×3788324710523 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36326663 + ... + 36337089.

It is an arithmetic number, because the mean of its divisors is an integer number (8580436480).

Almost surely, 2378832471052 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 378832471052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411860951040).

378832471052 is an abundant number, since it is smaller than the sum of its proper divisors (444889431028).

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

378832471052 is a wasteful number, since it uses less digits than its factorization.

378832471052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12691 (or 12689 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 378832471052 in words is "three hundred seventy-eight billion, eight hundred thirty-two million, four hundred seventy-one thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 2203 2356 4123 4406 8246 8812 10427 15421 16492 20854 30842 41708 41857 61684 68293 72989 83714 136586 145978 167428 198113 273172 291956 292999 323237 396226 478051 585998 646474 792452 956102 1171996 1292948 1297567 1386791 1912204 2262659 2595134 2773582 4525318 5190268 5547164 6141503 9050636 9082969 12283006 18165938 22970681 24566012 36331876 42990521 45941362 85981042 91882724 160794767 171962084 321589534 436442939 643179068 712091111 872885878 1424182222 1745771756 2848364444 3055100573 4984637777 6110201146 9969275554 12220402292 13529731109 19938551108 27059462218 54118924436 94708117763 189416235526 378832471052