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38263590072 = 233217122325561
BaseRepresentation
bin100011101000101100…
…000000110010111000
310122202122200202212200
4203220230000302320
51111330434340242
625324505310200
72523131102121
oct435054006270
9118678622780
1038263590072
1115255887614
1274ba495360
1337ba3c8576
141bcdb29048
15ede34004c
hex8e8b00cb8

38263590072 has 96 divisors (see below), whose sum is σ = 109820486880. Its totient is φ = 11993978880.

The previous prime is 38263590049. The next prime is 38263590107. The reversal of 38263590072 is 27009536283.

38263590072 is a `hidden beast` number, since 3 + 8 + 2 + 635 + 9 + 0 + 0 + 7 + 2 = 666.

It is a congruent number.

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, 1484172 + ... + 1509732.

It is an arithmetic number, because the mean of its divisors is an integer number (1143963405).

Almost surely, 238263590072 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 38263590072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54910243440).

38263590072 is an abundant number, since it is smaller than the sum of its proper divisors (71556896808).

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

38263590072 is a wasteful number, since it uses less digits than its factorization.

38263590072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26813 (or 26806 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 38263590072 in words is "thirty-eight billion, two hundred sixty-three million, five hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1223 1224 2446 3669 4892 7338 9784 11007 14676 20791 22014 25561 29352 41582 44028 51122 62373 76683 83164 88056 102244 124746 153366 166328 187119 204488 230049 249492 306732 374238 434537 460098 498984 613464 748476 869074 920196 1303611 1496952 1738148 1840392 2607222 3476296 3910833 5214444 7821666 10428888 15643332 31261103 31286664 62522206 93783309 125044412 187566618 250088824 281349927 375133236 531438751 562699854 750266472 1062877502 1125399708 1594316253 2125755004 2250799416 3188632506 4251510008 4782948759 6377265012 9565897518 12754530024 19131795036 38263590072