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38019600396 = 22334754713693
BaseRepresentation
bin100011011010001001…
…010001000000001100
310122010122120210222000
4203122021101000030
51110331004203041
625244351552300
72514106162011
oct433211210014
9118118523860
1038019600396
1115140089558
12745082b690
13377b9ab78b
141ba9575708
15ec7be6bb6
hex8da25100c

38019600396 has 96 divisors (see below), whose sum is σ = 100857953280. Its totient is φ = 12379977792.

The previous prime is 38019600337. The next prime is 38019600427. The reversal of 38019600396 is 69300691083.

38019600396 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 9 + 600 + 39 + 6 = 666.

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, 2769726 + ... + 2783418.

It is an arithmetic number, because the mean of its divisors is an integer number (1050603680).

Almost surely, 238019600396 is an apocalyptic number.

38019600396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38019600396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50428976640).

38019600396 is an abundant number, since it is smaller than the sum of its proper divisors (62838352884).

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

38019600396 is a wasteful number, since it uses less digits than its factorization.

38019600396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14300 (or 14292 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 38019600396 in words is "thirty-eight billion, nineteen million, six hundred thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 547 564 846 1094 1269 1641 1692 2188 2538 3282 4923 5076 6564 9846 13693 14769 19692 25709 27386 29538 41079 51418 54772 59076 77127 82158 102836 123237 154254 164316 231381 246474 308508 369711 462762 492948 643571 694143 739422 925524 1287142 1388286 1478844 1930713 2574284 2776572 3861426 5792139 7490071 7722852 11584278 14980142 17376417 22470213 23168556 29960284 34752834 44940426 67410639 69505668 89880852 134821278 202231917 269642556 352033337 404463834 704066674 808927668 1056100011 1408133348 2112200022 3168300033 4224400044 6336600066 9504900099 12673200132 19009800198 38019600396