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38661444096 = 293112399487
BaseRepresentation
bin100100000000011001…
…101101001000000000
310200210101022211222220
4210000121231020000
51113134312202341
625432200531040
72536031565312
oct440031551000
9120711284886
1038661444096
111543a4171a0
1275ab780a80
133851968152
141c2a8d17b2
15101422ca66
hex90066d200

38661444096 has 160 divisors (see below), whose sum is σ = 117246210048. Its totient is φ = 11206103040.

The previous prime is 38661444089. The next prime is 38661444097. The reversal of 38661444096 is 69044416683.

It is not an unprimeable number, because it can be changed into a prime (38661444097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338865 + ... + 438351.

Almost surely, 238661444096 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 38661444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58623105024).

38661444096 is an abundant number, since it is smaller than the sum of its proper divisors (78584765952).

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

38661444096 is a wasteful number, since it uses less digits than its factorization.

38661444096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99542 (or 99526 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 38661444096 in words is "thirty-eight billion, six hundred sixty-one million, four hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 512 528 552 704 736 759 768 1012 1056 1104 1408 1472 1518 1536 2024 2112 2208 2816 2944 3036 4048 4224 4416 5632 5888 6072 8096 8448 8832 11776 12144 16192 16896 17664 24288 32384 35328 48576 64768 97152 99487 129536 194304 198974 298461 388608 397948 596922 795896 1094357 1193844 1591792 2188714 2288201 2387688 3183584 3283071 4377428 4576402 4775376 6367168 6566142 6864603 8754856 9152804 9550752 12734336 13132284 13729206 17509712 18305608 19101504 25170211 25468672 26264568 27458412 35019424 36611216 38203008 50340422 50937344 52529136 54916824 70038848 73222432 75510633 76406016 100680844 105058272 109833648 140077696 146444864 151021266 152812032 201361688 210116544 219667296 280155392 292889728 302042532 402723376 420233088 439334592 560310784 585779456 604085064 805446752 840466176 878669184 1171558912 1208170128 1610893504 1680932352 1757338368 2416340256 3221787008 3514676736 4832680512 6443574016 9665361024 12887148032 19330722048 38661444096