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23993342080 = 275475211531
BaseRepresentation
bin10110010110000111…
…010101100010000000
32021221010201001202021
4112112013111202000
5343114243421310
615004500331224
71506402020431
oct262607254200
967833631667
1023993342080
11a1a2686034
1247973a3b14
132354b07a46
1412387c5488
159566285da
hex5961d5880

23993342080 has 128 divisors (see below), whose sum is σ = 58730261760. Its totient is φ = 9368985600.

The previous prime is 23993342077. The next prime is 23993342083. The reversal of 23993342080 is 8024339932.

It is an interprime number because it is at equal distance from previous prime (23993342077) and next prime (23993342083).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (23993342083) 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, 15670915 + ... + 15672445.

It is an arithmetic number, because the mean of its divisors is an integer number (458830170).

Almost surely, 223993342080 is an apocalyptic number.

23993342080 is a gapful number since it is divisible by the number (20) 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 23993342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29365130880).

23993342080 is an abundant number, since it is smaller than the sum of its proper divisors (34736919680).

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

23993342080 is a wasteful number, since it uses less digits than its factorization.

23993342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 23993342080 in words is "twenty-three billion, nine hundred ninety-three million, three hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 521 640 752 940 1042 1504 1531 1880 2084 2605 3008 3062 3760 4168 5210 6016 6124 7520 7655 8336 10420 12248 15040 15310 16672 20840 24487 24496 30080 30620 33344 41680 48974 48992 61240 66688 71957 83360 97948 97984 122435 122480 143914 166720 195896 195968 244870 244960 287828 333440 359785 391792 489740 489920 575656 719570 783584 797651 979480 979840 1151312 1439140 1567168 1595302 1958960 2302624 2878280 3134336 3190604 3917920 3988255 4605248 5756560 6381208 7835840 7976510 9210496 11513120 12762416 15671680 15953020 23026240 25524832 31906040 37489597 46052480 51049664 63812080 74979194 102099328 127624160 149958388 187447985 255248320 299916776 374895970 510496640 599833552 749791940 1199667104 1499583880 2399334208 2999167760 4798668416 5998335520 11996671040 23993342080