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378428110774776 = 233241291743947139
BaseRepresentation
bin101011000001011011010100…
…1000111011010000111111000
31211121220101002200220110002100
41112002312221013122013320
5344100131232324243101
63420503250223303400
7142465346235630066
oct12602665107320770
91747811080813070
10378428110774776
11aa640507a28347
1236539aa074ab60
13133208051a593a
146964038287036
152db3bb4a0be86
hex1582da91da1f8

378428110774776 has 96 divisors (see below), whose sum is σ = 1050267209518800. Its totient is φ = 123023860231680.

The previous prime is 378428110774751. The next prime is 378428110774787. The reversal of 378428110774776 is 677477011824873.

378428110774776 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 2 + 81 + 1 + 0 + 77 + 477 + 6 = 666.

It is a super-2 number, since 2×3784281107747762 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13362586 + ... + 30584553.

Almost surely, 2378428110774776 is an apocalyptic number.

378428110774776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378428110774776 is an abundant number, since it is smaller than the sum of its proper divisors (671839098744024).

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

378428110774776 is a wasteful number, since it uses less digits than its factorization.

378428110774776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43950109 (or 43950102 counting only the distinct ones).

The product of its (nonzero) digits is 619573248, while the sum is 72.

The spelling of 378428110774776 in words is "three hundred seventy-eight trillion, four hundred twenty-eight billion, one hundred ten million, seven hundred seventy-four thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2917 2952 5834 8751 11668 17502 23336 26253 35004 52506 70008 105012 119597 210024 239194 358791 478388 717582 956776 1076373 1435164 2152746 2870328 4305492 8610984 43947139 87894278 131841417 175788556 263682834 351577112 395524251 527365668 791048502 1054731336 1582097004 1801832699 3164194008 3603665398 5405498097 7207330796 10810996194 14414661592 16216494291 21621992388 32432988582 43243984776 64865977164 128193804463 129731954328 256387608926 384581413389 512775217852 769162826778 1025550435704 1153744240167 1538325653556 2307488480334 3076651307112 4614976960668 5255945982983 9229953921336 10511891965966 15767837948949 21023783931932 31535675897898 42047567863864 47303513846847 63071351795796 94607027693694 126142703591592 189214055387388 378428110774776