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245360724920 = 23553467324767
BaseRepresentation
bin1110010010000010100…
…0111000101110111000
3212110022121111021010022
43210200220320232320
513004444321144140
6304414523510012
723504160515303
oct3444050705670
9773277437108
10245360724920
1195069807213
123b676988308
131a1a2b9cccc
14bc3860db3a
1565b08b90b5
hex3920a38bb8

245360724920 has 64 divisors (see below), whose sum is σ = 562620971520. Its totient is φ = 96268017664.

The previous prime is 245360724887. The next prime is 245360724943. The reversal of 245360724920 is 29427063542.

It is a Cunningham number, because it is equal to 4953392-1.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9894377 + ... + 9919143.

It is an arithmetic number, because the mean of its divisors is an integer number (8790952680).

Almost surely, 2245360724920 is an apocalyptic number.

245360724920 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 245360724920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281310485760).

245360724920 is an abundant number, since it is smaller than the sum of its proper divisors (317260246600).

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

245360724920 is a wasteful number, since it uses less digits than its factorization.

245360724920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29504 (or 29500 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 245360724920 in words is "two hundred forty-five billion, three hundred sixty million, seven hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 4673 9346 18692 23365 24767 37384 46730 49534 93460 99068 123835 186920 198136 247669 247670 495338 495340 990676 990680 1238345 1312651 1981352 2476690 2625302 4953380 5250604 6563255 9906760 10501208 13126510 26253020 52506040 115736191 231472382 462944764 578680955 925889528 1157361910 2314723820 4629447640 6134018123 12268036246 24536072492 30670090615 49072144984 61340181230 122680362460 245360724920