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23534624740 = 225111912774409
BaseRepresentation
bin10101111010110001…
…011101111111100100
32020202011112210212011
4111322301131333210
5341144330442430
614451152404004
71462132003204
oct257261357744
966664483764
1023534624740
119a877559a0
124689846604
1322b0a78273
1411d38d8404
1592b21722a
hex57ac5dfe4

23534624740 has 96 divisors (see below), whose sum is σ = 56810678400. Its totient is φ = 8099435520.

The previous prime is 23534624653. The next prime is 23534624741. The reversal of 23534624740 is 4742643532.

It is a junction number, because it is equal to n+sod(n) for n = 23534624693 and 23534624702.

It is not an unprimeable number, because it can be changed into a prime (23534624741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5335656 + ... + 5340064.

It is an arithmetic number, because the mean of its divisors is an integer number (591777900).

Almost surely, 223534624740 is an apocalyptic number.

23534624740 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 23534624740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28405339200).

23534624740 is an abundant number, since it is smaller than the sum of its proper divisors (33276053660).

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

23534624740 is a wasteful number, since it uses less digits than its factorization.

23534624740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 40.

The spelling of 23534624740 in words is "twenty-three billion, five hundred thirty-four million, six hundred twenty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 1277 2090 2554 4180 4409 5108 6385 8818 12770 14047 17636 22045 24263 25540 28094 44090 48499 48526 56188 70235 83771 88180 96998 97052 121315 140470 167542 193996 242495 242630 266893 280940 335084 418855 484990 485260 533786 837710 921481 969980 1067572 1334465 1675420 1842962 2668930 3685924 4607405 5337860 5630293 9214810 11260586 18429620 22521172 28151465 56302930 61933223 106975567 112605860 123866446 213951134 247732892 309666115 427902268 534877835 619332230 1069755670 1176731237 1238664460 2139511340 2353462474 4706924948 5883656185 11767312370 23534624740