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38013663204 = 22351119187123
BaseRepresentation
bin100011011001110010…
…100111011111100100
310122010020102011200000
4203121302213133210
51110322444210304
625244020421300
72514004543266
oct433162473744
9118106364600
1038013663204
11151377a3890
12744a847830
13377a6b024a
141ba886bb36
15ec7422939
hex8d9ca77e4

38013663204 has 144 divisors (see below), whose sum is σ = 114430068480. Its totient is φ = 10912955040.

The previous prime is 38013663199. The next prime is 38013663239. The reversal of 38013663204 is 40236631083.

38013663204 is a `hidden beast` number, since 3 + 8 + 0 + 13 + 6 + 632 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 109587 + ... + 296709.

Almost surely, 238013663204 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 38013663204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57215034240).

38013663204 is an abundant number, since it is smaller than the sum of its proper divisors (76416405276).

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

38013663204 is a wasteful number, since it uses less digits than its factorization.

38013663204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187172 (or 187158 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 38013663204 in words is "thirty-eight billion, thirteen million, six hundred sixty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 243 297 324 342 396 418 486 513 594 627 684 836 891 972 1026 1188 1254 1539 1782 1881 2052 2508 2673 3078 3564 3762 4617 5346 5643 6156 7524 9234 10692 11286 16929 18468 22572 33858 50787 67716 101574 187123 203148 374246 561369 748492 1122738 1684107 2058353 2245476 3368214 3555337 4116706 5052321 6175059 6736428 7110674 8233412 10104642 10666011 12350118 14221348 15156963 18525177 20209284 21332022 24700236 30313926 31998033 37050354 39108707 42664044 45470889 55575531 60627852 63996066 74100708 78217414 90941778 95994099 111151062 117326121 127992132 156434828 166726593 181883556 191988198 222302124 234652242 287982297 333453186 351978363 383976396 469304484 500179779 575964594 666906372 703956726 863946891 1000359558 1055935089 1151929188 1407913452 1727893782 2000719116 2111870178 3167805267 3455787564 4223740356 6335610534 9503415801 12671221068 19006831602 38013663204