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38082077376 = 263786332833
BaseRepresentation
bin100011011101110111…
…100110001011000000
310122022000010222021020
4203131313212023000
51110443002434001
625254503025440
72515465213440
oct433567461300
9118260128236
1038082077376
1115172381422
12746973b280
13378b914cc5
141bb399a120
15ecd438736
hex8ddde62c0

38082077376 has 112 divisors (see below), whose sum is σ = 115289892864. Its totient is φ = 10867654656.

The previous prime is 38082077357. The next prime is 38082077393. The reversal of 38082077376 is 67377028083.

38082077376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1143456 + ... + 1176288.

Almost surely, 238082077376 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 38082077376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57644946432).

38082077376 is an abundant number, since it is smaller than the sum of its proper divisors (77207815488).

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

38082077376 is a wasteful number, since it uses less digits than its factorization.

38082077376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33718 (or 33708 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 38082077376 in words is "thirty-eight billion, eighty-two million, seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 863 1344 1726 2589 3452 5178 6041 6904 10356 12082 13808 18123 20712 24164 27616 32833 36246 41424 48328 55232 65666 72492 82848 96656 98499 131332 144984 165696 193312 196998 229831 262664 289968 386624 393996 459662 525328 579936 689493 787992 919324 1050656 1159872 1378986 1575984 1838648 2101312 2757972 3151968 3677296 5515944 6303936 7354592 11031888 14709184 22063776 28334879 44127552 56669758 85004637 113339516 170009274 198344153 226679032 340018548 396688306 453358064 595032459 680037096 793376612 906716128 1190064918 1360074192 1586753224 1813432256 2380129836 2720148384 3173506448 4760259672 5440296768 6347012896 9520519344 12694025792 19041038688 38082077376