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9740005056 = 26343175927
BaseRepresentation
bin10010001001000110…
…01010111011000000
3221010210112112010000
421010203022323000
5124421420130211
64250254040000
7463236451125
oct110443127300
927123475100
109740005056
114148a84a61
121a79aa9000
13bc2b88602
1468580474c
153c0152656
hex2448caec0

9740005056 has 140 divisors (see below), whose sum is σ = 28968393168. Its totient is φ = 3235880448.

The previous prime is 9740005049. The next prime is 9740005091. The reversal of 9740005056 is 6505000479.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9740005056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1640365 + ... + 1646291.

Almost surely, 29740005056 is an apocalyptic number.

9740005056 is a gapful number since it is divisible by the number (96) 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 9740005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484196584).

9740005056 is an abundant number, since it is smaller than the sum of its proper divisors (19228388112).

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

9740005056 is a wasteful number, since it uses less digits than its factorization.

9740005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 9740005056 is about 98691.4639469899. The cubic root of 9740005056 is about 2135.5990915296.

The spelling of 9740005056 in words is "nine billion, seven hundred forty million, five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 317 324 432 576 634 648 864 951 1268 1296 1728 1902 2536 2592 2853 3804 5072 5184 5706 5927 7608 8559 10144 11412 11854 15216 17118 17781 20288 22824 23708 25677 30432 34236 35562 45648 47416 51354 53343 60864 68472 71124 91296 94832 102708 106686 136944 142248 160029 182592 189664 205416 213372 273888 284496 320058 379328 410832 426744 480087 547776 568992 640116 821664 853488 960174 1137984 1280232 1643328 1706976 1878859 1920348 2560464 3413952 3757718 3840696 5120928 5636577 7515436 7681392 10241856 11273154 15030872 15362784 16909731 22546308 30061744 30725568 33819462 45092616 50729193 60123488 67638924 90185232 101458386 120246976 135277848 152187579 180370464 202916772 270555696 304375158 360740928 405833544 541111392 608750316 811667088 1082222784 1217500632 1623334176 2435001264 3246668352 4870002528 9740005056