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109890815025924 = 22321312133372
BaseRepresentation
bin11000111111000111110010…
…111111100110001100000100
3112102002110101211202102010100
4120333013302333212030010
5103400422342121312144
61025415050554524100
732101230560534142
oct3077076277461404
9472073354672110
10109890815025924
1132018484264129
12103a96ab736630
1349418758b881a
141d1ca5b0b8592
15ca87a3e5e269
hex63f1f2fe6304

109890815025924 has 81 divisors (see below), whose sum is σ = 279937191056341. Its totient is φ = 36347925731520.

The previous prime is 109890815025863. The next prime is 109890815025977. The reversal of 109890815025924 is 429520518098901.

The square root of 109890815025924 is 10482882.

It is a perfect power (a square), and thus also a powerful number.

109890815025924 is a `hidden beast` number, since 10 + 9 + 8 + 90 + 8 + 1 + 502 + 5 + 9 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30836808548100 + 79054006477824 = 5553090^2 + 8891232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8239538584 + ... + 8239551920.

Almost surely, 2109890815025924 is an apocalyptic number.

109890815025924 is the 10482882-nd square number.

It is an amenable number.

109890815025924 is an abundant number, since it is smaller than the sum of its proper divisors (170046376030417).

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

109890815025924 is an frugal number, since it uses more digits than its factorization.

109890815025924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26946 (or 13473 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 109890815025924 in words is "one hundred nine trillion, eight hundred ninety billion, eight hundred fifteen million, twenty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 13337 17161 26674 34322 40011 51483 53348 68644 80022 102966 120033 154449 160044 205932 240066 308898 480132 617796 1747147 3494294 5241441 6988588 10482882 15724323 20965764 31448646 62897292 177875569 228876257 355751138 457752514 533626707 686628771 711502276 915505028 1067253414 1373257542 1600880121 2059886313 2134506828 2746515084 3201760242 4119772626 6403520484 8239545252 23301699539 46603399078 69905098617 93206798156 139810197234 209715295851 279620394468 419430591702 838861183404 3052522639609 6105045279218 9157567918827 12210090558436 18315135837654 27472703756481 36630271675308 54945407512962 109890815025924