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23927352016 = 2429532693617
BaseRepresentation
bin10110010010001011…
…100110101011010000
32021202112112102101211
4112102023212223100
5343000400231031
614554142105504
71504641064531
oct262213465320
967675472354
1023927352016
11a169403797
12477927b294
132344241479
14122db28688
15950940bb1
hex5922e6ad0

23927352016 has 80 divisors (see below), whose sum is σ = 49057909200. Its totient is φ = 11287937024.

The previous prime is 23927352013. The next prime is 23927352079. The reversal of 23927352016 is 61025372932.

It can be written as a sum of positive squares in 8 ways, for example, as 5375822400 + 18551529616 = 73320^2 + 136204^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23927352016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23927352013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6613440 + ... + 6617056.

It is an arithmetic number, because the mean of its divisors is an integer number (613223865).

Almost surely, 223927352016 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 23927352016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24528954600).

23927352016 is an abundant number, since it is smaller than the sum of its proper divisors (25130557184).

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

23927352016 is a wasteful number, since it uses less digits than its factorization.

23927352016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 23927352016 in words is "twenty-three billion, nine hundred twenty-seven million, three hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 269 424 464 538 848 1076 1537 2152 3074 3617 4304 6148 7234 7801 12296 14257 14468 15602 24592 28514 28936 31204 57028 57872 62408 104893 114056 124816 191701 209786 228112 383402 413453 419572 766804 826906 839144 972973 1533608 1653812 1678288 1945946 3067216 3307624 3891892 5559329 6615248 7783784 11118658 15567568 22237316 28216217 44474632 51567569 56432434 88949264 103135138 112864868 206270276 225729736 412540552 451459472 825081104 1495459501 2990919002 5981838004 11963676008 23927352016