Search a number
-
+
9938710496 = 2511137392939
BaseRepresentation
bin10010100000110010…
…01010111111100000
3221122122102210201202
421100121022333200
5130323302213441
64322113020332
7501201434231
oct112031127740
927578383652
109938710496
114240163330
121b145546a8
13c250ab5b0
146a3d6b088
153d280319b
hex25064afe0

9938710496 has 96 divisors (see below), whose sum is σ = 23026550400. Its totient is φ = 4163028480.

The previous prime is 9938710469. The next prime is 9938710511. The reversal of 9938710496 is 6940178399.

It is a congruent number.

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, 3380195 + ... + 3383133.

It is an arithmetic number, because the mean of its divisors is an integer number (239859900).

Almost surely, 29938710496 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 9938710496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11513275200).

9938710496 is an abundant number, since it is smaller than the sum of its proper divisors (13087839904).

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

9938710496 is a wasteful number, since it uses less digits than its factorization.

9938710496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 56.

The square root of 9938710496 is about 99693.0814851261. The cubic root of 9938710496 is about 2150.0241926969.

The spelling of 9938710496 in words is "nine billion, nine hundred thirty-eight million, seven hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 739 1144 1478 2288 2939 2956 4576 5878 5912 8129 9607 11756 11824 16258 19214 23512 23648 32329 32516 38207 38428 47024 64658 65032 76414 76856 94048 105677 129316 130064 152828 153712 211354 258632 260128 305656 307424 420277 422708 517264 611312 840554 845416 1034528 1222624 1681108 1690832 2171921 3362216 3381664 4343842 6724432 8687684 13448864 17375368 23891131 28234973 34750736 47782262 56469946 69501472 95564524 112939892 191129048 225879784 310584703 382258096 451759568 621169406 764516192 903519136 1242338812 2484677624 4969355248 9938710496