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23345069568 = 293191137079
BaseRepresentation
bin10101101111011110…
…010111111000000000
32020020221212102001020
4111233132113320000
5340302314211233
614420301505440
71454340550212
oct255736277000
966227772036
1023345069568
11999a757327
124636272280
13228070a142
1411b66745b2
159197729b3
hex56f797e00

23345069568 has 160 divisors (see below), whose sum is σ = 66054700800. Its totient is φ = 7305854976.

The previous prime is 23345069563. The next prime is 23345069569. The reversal of 23345069568 is 86596054332.

It is a self number, because there is not a number n which added to its sum of digits gives 23345069568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23345069563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3294253 + ... + 3301331.

It is an arithmetic number, because the mean of its divisors is an integer number (412841880).

Almost surely, 223345069568 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 23345069568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33027350400).

23345069568 is an abundant number, since it is smaller than the sum of its proper divisors (42709631232).

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

23345069568 is a wasteful number, since it uses less digits than its factorization.

23345069568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 23345069568 in words is "twenty-three billion, three hundred forty-five million, sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 113 114 128 152 192 226 228 256 304 339 384 452 456 512 608 678 768 904 912 1216 1356 1536 1808 1824 2147 2432 2712 3616 3648 4294 4864 5424 6441 7079 7232 7296 8588 9728 10848 12882 14158 14464 14592 17176 21237 21696 25764 28316 28928 29184 34352 42474 43392 51528 56632 57856 68704 84948 86784 103056 113264 134501 137408 169896 173568 206112 226528 269002 274816 339792 403503 412224 453056 538004 549632 679584 799927 807006 824448 906112 1076008 1099264 1359168 1599854 1614012 1648896 1812224 2152016 2399781 2718336 3199708 3228024 3297792 3624448 4304032 4799562 5436672 6399416 6456048 8608064 9599124 10873344 12798832 12912096 15198613 17216128 19198248 25597664 25824192 30397226 34432256 38396496 45595839 51195328 51648384 60794452 68864512 76792992 91191678 102390656 103296768 121588904 153585984 182383356 204781312 206593536 243177808 307171968 364766712 409562624 486355616 614343936 729533424 972711232 1228687872 1459066848 1945422464 2918133696 3890844928 5836267392 7781689856 11672534784 23345069568