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20901527712 = 253413620297
BaseRepresentation
bin10011011101110101…
…000000000010100000
31222221122220121210000
4103131311000002200
5320301242341322
613334012140000
71336650024402
oct233565000240
958848817700
1020901527712
11895640514a
124073a67600
131c813b77a0
141023d1cb72
15824e9a3ac
hex4ddd400a0

20901527712 has 120 divisors (see below), whose sum is σ = 66199443156. Its totient is φ = 6431228928.

The previous prime is 20901527687. The next prime is 20901527723. The reversal of 20901527712 is 21772510902.

It can be written as a sum of positive squares in 2 ways, for example, as 20850204816 + 51322896 = 144396^2 + 7164^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 276453 + ... + 343844.

Almost surely, 220901527712 is an apocalyptic number.

It is an amenable number.

20901527712 is an abundant number, since it is smaller than the sum of its proper divisors (45297915444).

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

20901527712 is a wasteful number, since it uses less digits than its factorization.

20901527712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620332 (or 620315 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 20901527712 in words is "twenty billion, nine hundred one million, five hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 620297 1240594 1860891 2481188 3721782 4962376 5582673 7443564 8063861 9924752 11165346 14887128 16127722 16748019 19849504 22330692 24191583 29774256 32255444 33496038 44661384 48383166 50244057 59548512 64510888 66992076 72574749 89322768 96766332 100488114 129021776 133984152 145149498 178645536 193532664 200976228 217724247 258043552 267968304 290298996 387065328 401952456 435448494 535936608 580597992 653172741 774130656 803904912 870896988 1161195984 1306345482 1607809824 1741793976 2322391968 2612690964 3483587952 5225381928 6967175904 10450763856 20901527712