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94090013072 = 241131163241439
BaseRepresentation
bin101011110100000110…
…0111010100110010000
322222212021221220021222
41113220030322212100
53020144020404242
6111120243304212
76540431625626
oct1275014724620
9288767856258
1094090013072
11369a33a5490
121629a67b068
138b4629b863
1447a81a3516
1526aa4825d2
hex15e833a990

94090013072 has 160 divisors (see below), whose sum is σ = 207876218880. Its totient is φ = 40870656000.

The previous prime is 94090013071. The next prime is 94090013081. The reversal of 94090013072 is 27031009049.

It is not an unprimeable number, because it can be changed into a prime (94090013071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214327829 + ... + 214328267.

It is an arithmetic number, because the mean of its divisors is an integer number (1299226368).

Almost surely, 294090013072 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 94090013072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103938109440).

94090013072 is an abundant number, since it is smaller than the sum of its proper divisors (113786205808).

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

94090013072 is a wasteful number, since it uses less digits than its factorization.

94090013072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 94090013072 in words is "ninety-four billion, ninety million, thirteen thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 163 176 241 248 326 341 439 482 496 652 682 878 964 1304 1364 1756 1793 1928 2608 2651 2728 3512 3586 3856 4829 5053 5302 5456 7024 7172 7471 9658 10106 10604 13609 14344 14942 19316 20212 21208 27218 28688 29884 38632 39283 40424 42416 54436 55583 59768 71557 77264 78566 80848 82181 105799 108872 111166 119536 143114 149699 157132 164362 211598 217744 222332 286228 299398 314264 328724 423196 432113 444664 572456 598796 628528 657448 787127 846392 864226 889328 1144912 1163789 1197592 1217773 1314896 1574254 1692784 1728452 2218267 2327578 2395184 2435546 3148508 3279769 3456904 4436534 4655156 4871092 6297016 6559538 6913808 8873068 9310312 9742184 12594032 13119076 13395503 17245237 17746136 18620624 19484368 24400937 26238152 26791006 34490474 35492272 36077459 48801874 52476304 53582012 68980948 72154918 97603748 107164024 137961896 144309836 189697607 195207496 214328048 275923792 288619672 379395214 390414992 534602347 577239344 758790428 1069204694 1517580856 2138409388 3035161712 4276818776 5880625817 8553637552 11761251634 23522503268 47045006536 94090013072