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23657248116 = 22323153735479
BaseRepresentation
bin10110000010000101…
…001111010101110100
32021001201021201111200
4112002011033111310
5341422223414431
614511252532500
71465151201565
oct260205172564
967051251450
1023657248116
11a03a999727
124702921130
1323002b0288
141205cd816c
15936d89ee6
hex58214f574

23657248116 has 144 divisors (see below), whose sum is σ = 63767208960. Its totient is φ = 7383467520.

The previous prime is 23657248103. The next prime is 23657248117. The reversal of 23657248116 is 61184275632.

23657248116 is a `hidden beast` number, since 2 + 36 + 572 + 48 + 1 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23657248117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4315065 + ... + 4320543.

It is an arithmetic number, because the mean of its divisors is an integer number (442827840).

Almost surely, 223657248116 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 23657248116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31883604480).

23657248116 is an abundant number, since it is smaller than the sum of its proper divisors (40109960844).

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

23657248116 is a wasteful number, since it uses less digits than its factorization.

23657248116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 5641 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 23657248116 in words is "twenty-three billion, six hundred fifty-seven million, two hundred forty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 73 93 106 124 146 159 186 212 219 279 292 318 372 438 477 558 636 657 876 954 1116 1314 1643 1908 2263 2628 3286 3869 4526 4929 5479 6572 6789 7738 9052 9858 10958 11607 13578 14787 15476 16437 19716 20367 21916 23214 27156 29574 32874 34821 40734 46428 49311 59148 65748 69642 81468 98622 119939 139284 169849 197244 239878 290387 339698 359817 399967 479756 509547 580774 679396 719634 799934 871161 1019094 1079451 1161548 1199901 1439268 1528641 1599868 1742322 2038188 2158902 2399802 2613483 3057282 3484644 3599703 4317804 4799604 5226966 6114564 7199406 9001997 10453932 12398977 14398812 18003994 21198251 24797954 27005991 36007988 37196931 42396502 49595908 54011982 63594753 74393862 81017973 84793004 108023964 111590793 127189506 148787724 162035946 190784259 223181586 254379012 324071892 381568518 446363172 657145781 763137036 1314291562 1971437343 2628583124 3942874686 5914312029 7885749372 11828624058 23657248116