Search a number
-
+
23635114980 = 22351947943283
BaseRepresentation
bin10110000000110000…
…110011101111100100
32021000011122020112220
4112000300303233210
5341401042134410
614505142312340
71464462106521
oct260060635744
967004566486
1023635114980
11a029451784
1246b74286b0
1322c8830c49
141202db6148
15934e67070
hex580c33be4

23635114980 has 96 divisors (see below), whose sum is σ = 69808435200. Its totient is φ = 5958373248.

The previous prime is 23635114973. The next prime is 23635114981. The reversal of 23635114980 is 8941153632.

It is not an unprimeable number, because it can be changed into a prime (23635114981) 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, 524419 + ... + 567701.

It is an arithmetic number, because the mean of its divisors is an integer number (727171200).

Almost surely, 223635114980 is an apocalyptic number.

23635114980 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 23635114980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34904217600).

23635114980 is an abundant number, since it is smaller than the sum of its proper divisors (46173320220).

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

23635114980 is a wasteful number, since it uses less digits than its factorization.

23635114980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43793 (or 43791 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 23635114980 in words is "twenty-three billion, six hundred thirty-five million, one hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 479 570 958 1140 1437 1916 2395 2874 4790 5748 7185 9101 9580 14370 18202 27303 28740 36404 43283 45505 54606 86566 91010 109212 129849 136515 173132 182020 216415 259698 273030 432830 519396 546060 649245 822377 865660 1298490 1644754 2467131 2596980 3289508 4111885 4934262 8223770 9868524 12335655 16447540 20732557 24671310 41465114 49342620 62197671 82930228 103662785 124395342 207325570 248790684 310988355 393918583 414651140 621976710 787837166 1181755749 1243953420 1575674332 1969592915 2363511498 3939185830 4727022996 5908778745 7878371660 11817557490 23635114980