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13023127825960 = 23571481195116097
BaseRepresentation
bin1011110110000010111011…
…1010000110111000101000
31201002222222011120211010011
42331200232322012320220
53201332331210412320
643410424202101304
72512614151025410
oct275405672067050
951088864524104
1013023127825960
11417109416674a
121563b771aa834
137360ca381635
143304738a9640
15178b64ce605a
hexbd82ee86e28

13023127825960 has 128 divisors (see below), whose sum is σ = 33529913763840. Its totient is φ = 4459493376000.

The previous prime is 13023127825937. The next prime is 13023127825991. The reversal of 13023127825960 is 6952872132031.

13023127825960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809032632 + ... + 809048728.

It is an arithmetic number, because the mean of its divisors is an integer number (261952451280).

Almost surely, 213023127825960 is an apocalyptic number.

13023127825960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023127825960 is an abundant number, since it is smaller than the sum of its proper divisors (20506785937880).

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

13023127825960 is a wasteful number, since it uses less digits than its factorization.

13023127825960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19547 (or 19543 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Adding to 13023127825960 its reverse (6952872132031), we get a palindrome (19975999957991).

The spelling of 13023127825960 in words is "thirteen trillion, twenty-three billion, one hundred twenty-seven million, eight hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1481 1951 2962 3902 5924 7405 7804 9755 10367 11848 13657 14810 15608 16097 19510 20734 27314 29620 32194 39020 41468 51835 54628 59240 64388 68285 78040 80485 82936 103670 109256 112679 128776 136570 160970 207340 225358 273140 321940 414680 450716 546280 563395 643880 901432 1126790 2253580 2889431 4507160 5778862 11557724 14447155 20226017 23115448 23839657 28894310 31405247 40452034 47679314 57788620 62810494 80904068 95358628 101130085 115577240 119198285 125620988 157026235 161808136 166877599 190717256 202260170 219836729 238396570 251241976 314052470 333755198 404520340 439673458 476793140 628104940 667510396 809040680 834387995 879346916 953586280 1099183645 1256209880 1335020792 1668775990 1758693832 2198367290 3337551980 4396734580 6675103960 8793469160 46511170807 93022341614 186044683228 232555854035 325578195649 372089366456 465111708070 651156391298 930223416140 1302312782596 1627890978245 1860446832280 2604625565192 3255781956490 6511563912980 13023127825960