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38482934016408 = 23377571223247421
BaseRepresentation
bin10001100000000000000011…
…00111001010100110011000
312001020221011211122002012120
420300000001213022212120
520021001022102011113
6213502452115141240
711051204656665660
oct1060000147124630
9161227154562176
1038482934016408
1111297580005712
1243963008a4820
131861c045c741b
149708264b51a0
1546b0694b4a23
hex2300019ca998

38482934016408 has 128 divisors (see below), whose sum is σ = 110186953067520. Its totient is φ = 10971576645120.

The previous prime is 38482934016391. The next prime is 38482934016437. The reversal of 38482934016408 is 80461043928483.

It is a super-2 number, since 2×384829340164082 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 155412538 + ... + 155659958.

It is an arithmetic number, because the mean of its divisors is an integer number (860835570840).

Almost surely, 238482934016408 is an apocalyptic number.

It is an amenable number.

38482934016408 is an abundant number, since it is smaller than the sum of its proper divisors (71704019051112).

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

38482934016408 is a wasteful number, since it uses less digits than its factorization.

38482934016408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249417 (or 249413 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 38482934016408 in words is "thirty-eight trillion, four hundred eighty-two billion, nine hundred thirty-four million, sixteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 757 1223 1514 2271 2446 3028 3669 4542 4892 5299 6056 7338 8561 9084 9784 10598 14676 15897 17122 18168 21196 25683 29352 31794 34244 42392 51366 63588 68488 102732 127176 205464 247421 494842 742263 925811 989684 1484526 1731947 1851622 1979368 2777433 2969052 3463894 3703244 5195841 5554866 5938104 6480677 6927788 7406488 10391682 11109732 12961354 13855576 19442031 20783364 22219464 25922708 38884062 41566728 51845416 77768124 155536248 187297697 302595883 374595394 561893091 605191766 749190788 907787649 1123786182 1210383532 1311083879 1498381576 1815575298 2118171181 2247572364 2420767064 2622167758 3631150596 3933251637 4236342362 4495144728 5244335516 6354513543 7262301192 7866503274 8472684724 10488671032 12709027086 15733006548 16945369448 25418054172 31466013096 50836108344 229065083431 458130166862 687195250293 916260333724 1374390500586 1603455584017 1832520667448 2748781001172 3206911168034 4810366752051 5497562002344 6413822336068 9620733504102 12827644672136 19241467008204 38482934016408