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23481654100 = 22523722692797
BaseRepresentation
bin10101110111100111…
…011001101101010100
32020121110212121210121
4111313213121231110
5341042300412400
614442021201324
71460616523642
oct256747315524
966543777717
1023481654100
119a5a866303
124673b60244
1322a2abc9a8
1411ca86a192
1592675221a
hex5779d9b54

23481654100 has 72 divisors (see below), whose sum is σ = 52374139160. Its totient is φ = 9131512320.

The previous prime is 23481654047. The next prime is 23481654101. The reversal of 23481654100 is 145618432.

It can be written as a sum of positive squares in 12 ways, for example, as 4832474256 + 18649179844 = 69516^2 + 136562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23481654101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8393902 + ... + 8396698.

Almost surely, 223481654100 is an apocalyptic number.

23481654100 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 23481654100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26187069580).

23481654100 is an abundant number, since it is smaller than the sum of its proper divisors (28892485060).

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

23481654100 is a wasteful number, since it uses less digits than its factorization.

23481654100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 23481654100 in words is "twenty-three billion, four hundred eighty-one million, six hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 2269 2797 3700 4538 5594 9076 11188 11345 13985 22690 27970 45380 55940 56725 69925 83953 103489 113450 139850 167906 206978 226900 279700 335812 413956 419765 517445 839530 1034890 1679060 2069780 2098825 2587225 4197650 5174450 6346393 8395300 10348900 12692786 25385572 31731965 63463930 126927860 158659825 234816541 317319650 469633082 634639300 939266164 1174082705 2348165410 4696330820 5870413525 11740827050 23481654100