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23354869692 = 223711219120937
BaseRepresentation
bin10101110000000011…
…110000011110111100
32020021122022022021210
4111300003300132330
5340312321312232
614421251524420
71454520055050
oct256003603674
966248268253
1023354869692
1199a5240300
1246395b9710
13228275ba2b
1411b7aa5c60
1591a55b5cc
hex5700f07bc

23354869692 has 144 divisors (see below), whose sum is σ = 72059697920. Its totient is φ = 5746878720.

The previous prime is 23354869627. The next prime is 23354869697. The reversal of 23354869692 is 29696845332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23354869697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132648 + ... + 253584.

Almost surely, 223354869692 is an apocalyptic number.

23354869692 is a gapful number since it is divisible by the number (22) 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 23354869692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36029848960).

23354869692 is an abundant number, since it is smaller than the sum of its proper divisors (48704828228).

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

23354869692 is a wasteful number, since it uses less digits than its factorization.

23354869692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120992 (or 120979 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 57.

The spelling of 23354869692 in words is "twenty-three billion, three hundred fifty-four million, eight hundred sixty-nine thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 121 132 133 154 209 228 231 242 266 308 363 399 418 462 484 532 627 726 798 836 847 924 1254 1452 1463 1596 1694 2299 2508 2541 2926 3388 4389 4598 5082 5852 6897 8778 9196 10164 13794 16093 17556 27588 32186 48279 64372 96558 120937 193116 241874 362811 483748 725622 846559 1330307 1451244 1693118 2297803 2539677 2660614 3386236 3990921 4595606 5079354 5321228 6893409 7981842 9191212 9312149 10158708 13786818 14633377 15963684 16084621 18624298 25275833 27573636 27936447 29266754 32169242 37248596 43900131 48253863 50551666 55872894 58533508 64338484 75827499 87800262 96507726 101103332 102433639 111745788 151654998 175600524 176930831 193015452 204867278 278034163 303309996 307300917 353861662 409734556 530792493 556068326 614601834 707723324 834102489 1061584986 1112136652 1229203668 1668204978 1946239141 2123169972 3336409956 3892478282 5838717423 7784956564 11677434846 23354869692