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381038927528 = 237477311511723
BaseRepresentation
bin1011000101101111011…
…00001001111010101000
31100102112020222002101102
411202313230021322220
522220331431140103
6451014042340532
736346333305230
oct5426754117250
91312466862342
10381038927528
111376635a4a76
1261a211ba748
1329c1628022c
1414629c7ccc0
159da1e9ce88
hex58b7b09ea8

381038927528 has 128 divisors (see below), whose sum is σ = 846533099520. Its totient is φ = 157410086400.

The previous prime is 381038927453. The next prime is 381038927557. The reversal of 381038927528 is 825729830183.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 221147675 + ... + 221149397.

It is an arithmetic number, because the mean of its divisors is an integer number (6613539840).

Almost surely, 2381038927528 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 381038927528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423266549760).

381038927528 is an abundant number, since it is smaller than the sum of its proper divisors (465494171992).

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

381038927528 is a wasteful number, since it uses less digits than its factorization.

381038927528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 381038927528 in words is "three hundred eighty-one billion, thirty-eight million, nine hundred twenty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 73 94 146 188 292 329 376 511 584 658 1022 1151 1316 1723 2044 2302 2632 3431 3446 4088 4604 6862 6892 8057 9208 12061 13724 13784 16114 24017 24122 27448 32228 48034 48244 54097 64456 80981 84023 96068 96488 108194 125779 161962 168046 192136 216388 251558 323924 336092 378679 432776 503116 566867 588161 647848 672184 757358 880453 1006232 1133734 1176322 1514716 1760906 1983173 2267468 2352644 3029432 3521812 3949081 3966346 4534936 4705288 5911613 7043624 7898162 7932692 11823226 13882211 15796324 15865384 23646452 27643567 27764422 31592648 41381291 47292904 55287134 55528844 82762582 93209131 110574268 111057688 144771629 165525164 186418262 221148536 289543258 331050328 372836524 579086516 652463917 745673048 1013401403 1158173032 1304927834 2026802806 2609855668 4053605612 5219711336 6804266563 8107211224 13608533126 27217066252 47629865941 54434132504 95259731882 190519463764 381038927528