Search a number
-
+
38012979264 = 2631382918371
BaseRepresentation
bin100011011001110000…
…000000100001000000
310122010012010102110220
4203121300000201000
51110322310314024
625243554023040
72513665664301
oct433160004100
9118105112426
1038012979264
1115137376a47
12744a577a80
13377a500b50
141ba87307a8
15ec7339e79
hex8d9c00840

38012979264 has 112 divisors (see below), whose sum is σ = 108449181120. Its totient is φ = 11681556480.

The previous prime is 38012979241. The next prime is 38012979283. The reversal of 38012979264 is 46297921083.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2059999 + ... + 2078369.

It is an arithmetic number, because the mean of its divisors is an integer number (968296260).

Almost surely, 238012979264 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 38012979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54224590560).

38012979264 is an abundant number, since it is smaller than the sum of its proper divisors (70436201856).

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

38012979264 is a wasteful number, since it uses less digits than its factorization.

38012979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19228 (or 19218 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 38012979264 in words is "thirty-eight billion, twelve million, nine hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 829 832 1248 1658 2487 2496 3316 4974 6632 9948 10777 13264 18371 19896 21554 26528 32331 36742 39792 43108 53056 55113 64662 73484 79584 86216 110226 129324 146968 159168 172432 220452 238823 258648 293936 344864 440904 477646 517296 587872 689728 716469 881808 955292 1034592 1175744 1432938 1763616 1910584 2069184 2865876 3527232 3821168 5731752 7642336 11463504 15229559 15284672 22927008 30459118 45688677 45854016 60918236 91377354 121836472 182754708 197984267 243672944 365509416 395968534 487345888 593952801 731018832 791937068 974691776 1187905602 1462037664 1583874136 2375811204 2924075328 3167748272 4751622408 6335496544 9503244816 12670993088 19006489632 38012979264