Search a number
-
+
21357177330 = 2355318117417
BaseRepresentation
bin10011111000111111…
…001010100111110010
32001010102022000112210
4103320333022213302
5322214414133310
613451130232550
71354152004056
oct237077124762
961112260483
1021357177330
11906a62a485
124180585756
132024911b48
14106864bc66
1584eea2820
hex4f8fca9f2

21357177330 has 64 divisors (see below), whose sum is σ = 52260225408. Its totient is φ = 5583951360.

The previous prime is 21357177253. The next prime is 21357177341. The reversal of 21357177330 is 3377175312.

It is a super-2 number, since 2×213571773302 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2875782 + ... + 2883198.

It is an arithmetic number, because the mean of its divisors is an integer number (816566022).

Almost surely, 221357177330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21357177330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26130112704).

21357177330 is an abundant number, since it is smaller than the sum of its proper divisors (30903048078).

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

21357177330 is a wasteful number, since it uses less digits than its factorization.

21357177330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291.

The product of its (nonzero) digits is 92610, while the sum is 39.

The spelling of 21357177330 in words is "twenty-one billion, three hundred fifty-seven million, one hundred seventy-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1590 1811 3622 5433 7417 9055 10866 14834 18110 22251 27165 37085 44502 54330 74170 95983 111255 191966 222510 287949 393101 479915 575898 786202 959830 1179303 1439745 1965505 2358606 2879490 3931010 5896515 11793030 13432187 26864374 40296561 67160935 80593122 134321870 201482805 402965610 711905911 1423811822 2135717733 3559529555 4271435466 7119059110 10678588665 21357177330