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20739517132356 = 2232112690012
BaseRepresentation
bin1001011011100110010111…
…00011010010111001000100
32201102200022121102020000100
410231303023203102321010
510204244012341213411
6112035334100444100
74240244365645551
oct455631343227104
981380277366010
1020739517132356
11667664181a100
1223ab55a3a9630
13b75960769219
14519b25957a28
1525e738343456
hex12dccb8d2e44

20739517132356 has 81 divisors (see below), whose sum is σ = 57624888357309. Its totient is φ = 6284611080000.

The previous prime is 20739517132351. The next prime is 20739517132417. The reversal of 20739517132356 is 65323171593702.

It is a happy number.

The square root of 20739517132356 is 4554066.

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

20739517132356 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 95 + 171 + 32 + 356 = 666.

It can be written as a sum of positive squares in only one way, i.e., 216442674756 + 20523074457600 = 465234^2 + 4530240^2 .

It is a super-2 number, since 2×207395171323562 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20739517132351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 300533856 + ... + 300602856.

Almost surely, 220739517132356 is an apocalyptic number.

20739517132356 is the 4554066-th square number.

It is an amenable number.

20739517132356 is an abundant number, since it is smaller than the sum of its proper divisors (36885371224953).

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

20739517132356 is an frugal number, since it uses more digits than its factorization.

20739517132356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138034 (or 69017 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 20739517132356 in words is "twenty trillion, seven hundred thirty-nine billion, five hundred seventeen million, one hundred thirty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 69001 138002 207003 276004 414006 621009 759011 828012 1242018 1518022 2277033 2484036 3036044 4554066 6831099 8349121 9108132 13662198 16698242 25047363 27324396 33396484 50094726 75142089 100189452 150284178 300568356 4761138001 9522276002 14283414003 19044552004 28566828006 42850242009 52372518011 57133656012 85700484018 104745036022 157117554033 171400968036 209490072044 314235108066 471352662099 576097698121 628470216132 942705324198 1152195396242 1728293094363 1885410648396 2304390792484 3456586188726 5184879283089 6913172377452 10369758566178 20739517132356