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23454204310432 = 2571991835328669
BaseRepresentation
bin1010101010100110110111…
…00001000011001110100000
310002001012101211021102101201
411111103123201003032200
511033233202300413212
6121514413540210544
74640340022145410
oct525233341031640
9102035354242351
1023454204310432
117522965979885
1227696b9699a54
13101195024962c
145b1292182640
152aa16e9e9b57
hex1554db8433a0

23454204310432 has 96 divisors (see below), whose sum is σ = 53041885344000. Its totient is φ = 10000396505088.

The previous prime is 23454204310421. The next prime is 23454204310457. The reversal of 23454204310432 is 23401340245432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23454204310391 and 23454204310400.

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, 818088994 + ... + 818117662.

It is an arithmetic number, because the mean of its divisors is an integer number (552519639000).

Almost surely, 223454204310432 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 23454204310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26520942672000).

23454204310432 is an abundant number, since it is smaller than the sum of its proper divisors (29587681033568).

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

23454204310432 is a wasteful number, since it uses less digits than its factorization.

23454204310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47238 (or 47230 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 23454204310432 its reverse (23401340245432), we get a palindrome (46855544555864).

The spelling of 23454204310432 in words is "twenty-three trillion, four hundred fifty-four billion, two hundred four million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 796 1393 1592 2786 3184 5572 6368 11144 18353 22288 28669 36706 44576 57338 73412 114676 128471 146824 200683 229352 256942 293648 401366 458704 513884 587296 802732 917408 1027768 1605464 2055536 3210928 3652247 4111072 5705131 6421856 7304494 11410262 14608988 22820524 25565729 29217976 39935917 45641048 51131458 58435952 79871834 91282096 102262916 116871904 159743668 182564192 204525832 319487336 409051664 526162157 638974672 818103328 1052324314 1277949344 2104648628 3683135099 4209297256 7366270198 8418594512 14732540396 16837189024 29465080792 58930161584 104706269243 117860323168 209412538486 418825076972 732943884701 837650153944 1465887769402 1675300307888 2931775538804 3350600615776 5863551077608 11727102155216 23454204310432