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38879995536 = 24326112173637
BaseRepresentation
bin100100001101011011…
…011010011010010000
310201100121120102012200
4210031123122122100
51114111234324121
625510005123200
72544324336444
oct441533323220
9121317512180
1038879995536
1115541820118
1276509b9500
133888019425
141c4b942824
1510284eda26
hex90d6da690

38879995536 has 120 divisors (see below), whose sum is σ = 110715064824. Its totient is φ = 12733562880.

The previous prime is 38879995499. The next prime is 38879995579. The reversal of 38879995536 is 63559997883.

38879995536 is a `hidden beast` number, since 3 + 8 + 87 + 9 + 9 + 9 + 5 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3475809936 + 35404185600 = 58956^2 + 188160^2 .

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

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, 10688310 + ... + 10691946.

Almost surely, 238879995536 is an apocalyptic number.

38879995536 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 38879995536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55357532412).

38879995536 is an abundant number, since it is smaller than the sum of its proper divisors (71835069288).

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

38879995536 is a wasteful number, since it uses less digits than its factorization.

38879995536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4920 counting only the distinct ones).

The product of its digits is 440899200, while the sum is 72.

The spelling of 38879995536 in words is "thirty-eight billion, eight hundred seventy-nine million, nine hundred ninety-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1217 1464 2196 2434 2928 3637 3651 4392 4868 7274 7302 8784 9736 10911 10953 14548 14604 19472 21822 21906 29096 29208 32733 43644 43812 58192 58416 65466 74237 87288 87624 130932 148474 174576 175248 221857 222711 261864 296948 443714 445422 523728 593896 665571 668133 887428 890844 1187792 1331142 1336266 1774856 1781688 1996713 2662284 2672532 3549712 3563376 3993426 4426229 5324568 5345064 7986852 8852458 10649136 10690128 13278687 15973704 17704916 26557374 31947408 35409832 39836061 53114748 70819664 79672122 106229496 159344244 212458992 269999969 318688488 539999938 637376976 809999907 1079999876 1619999814 2159999752 2429999721 3239999628 4319999504 4859999442 6479999256 9719998884 12959998512 19439997768 38879995536