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21407232825 = 3452113592677
BaseRepresentation
bin10011111011111110…
…000111001100111001
32001020220111002210000
4103323332013030321
5322320222422300
613500115143213
71355330322336
oct237376071471
961226432700
1021407232825
119095908960
1241952a4b09
1320320b9594
14107115b98d
1585458dc00
hex4fbf87339

21407232825 has 120 divisors (see below), whose sum is σ = 43395168960. Its totient is φ = 10346486400.

The previous prime is 21407232817. The next prime is 21407232829. The reversal of 21407232825 is 52823270412.

It is not a de Polignac number, because 21407232825 - 23 = 21407232817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21407232825.

It is not an unprimeable number, because it can be changed into a prime (21407232829) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7995387 + ... + 7998063.

It is an arithmetic number, because the mean of its divisors is an integer number (361626408).

Almost surely, 221407232825 is an apocalyptic number.

21407232825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21407232825 is an abundant number, since it is smaller than the sum of its proper divisors (21987936135).

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

21407232825 is a wasteful number, since it uses less digits than its factorization.

21407232825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 21407232825 in words is "twenty-one billion, four hundred seven million, two hundred thirty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 359 405 495 675 825 891 1077 1485 1795 2025 2475 2677 3231 3949 4455 5385 7425 8031 8975 9693 11847 13385 16155 19745 22275 24093 26925 29079 29447 35541 40155 48465 59235 66925 72279 80775 88341 98725 106623 120465 145395 147235 177705 200775 216837 242325 265023 296175 319869 361395 441705 533115 602325 726975 736175 795069 888525 961043 1084185 1325115 1599345 1806975 2208525 2385207 2665575 2883129 3975345 4805215 5420925 6625575 7996725 8649387 10571473 11926035 14415645 19876725 24026075 25948161 31714419 43246935 52857365 59630175 72078225 77844483 95143257 129740805 158572095 216234675 264286825 285429771 389222415 475716285 648704025 792860475 856289313 1427148855 1946112075 2378581425 4281446565 7135744275 21407232825