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23443406712 = 233211142720743
BaseRepresentation
bin10101110101010101…
…011111111101111000
32020111210220110020200
4111311111133331320
5341003003003322
614434133322200
71456643445345
oct256525377570
966453813220
1023443406712
119a402124a0
124663196360
132297bbaabb
1411c57517cc
159231e98ac
hex57555ff78

23443406712 has 96 divisors (see below), whose sum is σ = 69316490880. Its totient is φ = 7098742080.

The previous prime is 23443406683. The next prime is 23443406741. The reversal of 23443406712 is 21760434432.

23443406712 is a `hidden beast` number, since 234 + 4 + 3 + 406 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (23443406683) and next prime (23443406741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119813 + ... + 1140555.

It is an arithmetic number, because the mean of its divisors is an integer number (722046780).

Almost surely, 223443406712 is an apocalyptic number.

23443406712 is a gapful number since it is divisible by the number (22) 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 23443406712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34658245440).

23443406712 is an abundant number, since it is smaller than the sum of its proper divisors (45873084168).

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

23443406712 is a wasteful number, since it uses less digits than its factorization.

23443406712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22193 (or 22186 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 23443406712 in words is "twenty-three billion, four hundred forty-three million, four hundred six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1427 2854 4281 5708 8562 11416 12843 15697 17124 20743 25686 31394 34248 41486 47091 51372 62229 62788 82972 94182 102744 124458 125576 141273 165944 186687 188364 228173 248916 282546 373374 376728 456346 497832 565092 684519 746748 912692 1130184 1369038 1493496 1825384 2053557 2738076 4107114 5476152 8214228 16428456 29600261 59200522 88800783 118401044 177601566 236802088 266402349 325602871 355203132 532804698 651205742 710406264 976808613 1065609396 1302411484 1953617226 2131218792 2604822968 2930425839 3907234452 5860851678 7814468904 11721703356 23443406712