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378875568324 = 2231121514993463
BaseRepresentation
bin1011000001101101011…
…11100110000011000100
31100012221111020001110110
411200312233212003010
522201414121141244
6450015242153020
736241614123441
oct5406657460304
91305844201413
10378875568324
11136753421200
12615187b2770
132996000a426
14144a281c9c8
159cc70bc9b9
hex5836be60c4

378875568324 has 144 divisors (see below), whose sum is σ = 980395136000. Its totient is φ = 113789016000.

The previous prime is 378875568317. The next prime is 378875568371. The reversal of 378875568324 is 423865578873.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109405017 + ... + 109408479.

Almost surely, 2378875568324 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 378875568324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490197568000).

378875568324 is an abundant number, since it is smaller than the sum of its proper divisors (601519567676).

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

378875568324 is a wasteful number, since it uses less digits than its factorization.

378875568324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4129 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 66.

The spelling of 378875568324 in words is "three hundred seventy-eight billion, eight hundred seventy-five million, five hundred sixty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 151 242 302 363 453 484 499 604 726 906 998 1452 1497 1661 1812 1996 2994 3322 3463 4983 5489 5988 6644 6926 9966 10389 10978 13852 16467 18271 19932 20778 21956 32934 36542 38093 41556 54813 60379 65868 73084 75349 76186 109626 114279 120758 150698 152372 181137 219252 226047 228558 241516 301396 362274 419023 452094 457116 522913 724548 828839 838046 904188 1045826 1257069 1568739 1657678 1676092 1728037 2091652 2486517 2514138 3137478 3315356 3456074 4973034 5028276 5184111 5752043 6274956 6912148 9117229 9946068 10368222 11504086 17256129 18234458 19008407 20736444 23008172 27351687 34512258 36468916 38016814 54703374 57025221 63272473 69024516 76033628 109406748 114050442 126544946 189817419 209092477 228100884 253089892 260933587 379634838 418184954 521867174 627277431 759269676 782800761 836369908 1043734348 1254554862 1565601522 2509109724 2870269457 3131203044 5740538914 8610808371 11481077828 17221616742 31572964027 34443233484 63145928054 94718892081 126291856108 189437784162 378875568324