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23059068144 = 2437971036869
BaseRepresentation
bin10101011110011011…
…010111010011110000
32012112000201000211220
4111132123113103300
5334211110140034
614332043505040
71444265562630
oct253633272360
965460630756
1023059068144
119863274212
124576528180
1322363a0c28
14118a6a66c0
158ee5cb749
hex55e6d74f0

23059068144 has 160 divisors (see below), whose sum is σ = 69458887680. Its totient is φ = 6456139776.

The previous prime is 23059068133. The next prime is 23059068169. The reversal of 23059068144 is 44186095032.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 23059068096 and 23059068105.

It is a congruent number.

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, 3353542 + ... + 3360410.

It is an arithmetic number, because the mean of its divisors is an integer number (434118048).

Almost surely, 223059068144 is an apocalyptic number.

23059068144 is a gapful number since it is divisible by the number (24) 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 23059068144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34729443840).

23059068144 is an abundant number, since it is smaller than the sum of its proper divisors (46399819536).

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

23059068144 is a wasteful number, since it uses less digits than its factorization.

23059068144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 23059068144 in words is "twenty-three billion, fifty-nine million, sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 103 112 168 194 206 291 309 336 388 412 582 618 679 721 776 824 1164 1236 1358 1442 1552 1648 2037 2163 2328 2472 2716 2884 4074 4326 4656 4944 5432 5768 6869 8148 8652 9991 10864 11536 13738 16296 17304 19982 20607 27476 29973 32592 34608 39964 41214 48083 54952 59946 69937 79928 82428 96166 109904 119892 139874 144249 159856 164856 192332 209811 239784 279748 288498 329712 384664 419622 479568 559496 576996 666293 707507 769328 839244 1118992 1153992 1332586 1415014 1678488 1998879 2122521 2307984 2665172 2830028 3356976 3997758 4245042 4664051 4952549 5330344 5660056 7995516 8490084 9328102 9905098 10660688 11320112 13992153 14857647 15991032 16980168 18656204 19810196 27984306 29715294 31982064 33960336 37312408 39620392 55968612 59430588 68628179 74624816 79240784 111937224 118861176 137256358 205884537 223874448 237722352 274512716 411769074 480397253 549025432 823538148 960794506 1098050864 1441191759 1647076296 1921589012 2882383518 3294152592 3843178024 5764767036 7686356048 11529534072 23059068144