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20552765120 = 265199073727
BaseRepresentation
bin10011001001000010…
…100100111011000000
31222001100122122102222
4103021002210323000
5314043001440440
613235233030212
71325213423006
oct231102447300
958040578388
1020552765120
1187975556a8
123b970b5368
131c270758a4
14dcd894a76
158045582b5
hex4c90a4ec0

20552765120 has 112 divisors (see below), whose sum is σ = 51587765760. Its totient is φ = 7777741824.

The previous prime is 20552765117. The next prime is 20552765137. The reversal of 20552765120 is 2156725502.

It is a super-2 number, since 2×205527651202 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5512697 + ... + 5516423.

Almost surely, 220552765120 is an apocalyptic number.

20552765120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20552765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25793882880).

20552765120 is an abundant number, since it is smaller than the sum of its proper divisors (31035000640).

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

20552765120 is a wasteful number, since it uses less digits than its factorization.

20552765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 20552765120 in words is "twenty billion, five hundred fifty-two million, seven hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 907 1216 1520 1814 3040 3628 3727 4535 6080 7256 7454 9070 14512 14908 17233 18140 18635 29024 29816 34466 36280 37270 58048 59632 68932 70813 72560 74540 86165 119264 137864 141626 145120 149080 172330 238528 275728 283252 290240 298160 344660 354065 551456 566504 596320 689320 708130 1102912 1133008 1192640 1378640 1416260 2266016 2757280 2832520 3380389 4532032 5514560 5665040 6760778 11330080 13521556 16901945 22660160 27043112 33803890 54086224 64227391 67607780 108172448 128454782 135215560 216344896 256909564 270431120 321136955 513819128 540862240 642273910 1027638256 1081724480 1284547820 2055276512 2569095640 4110553024 5138191280 10276382560 20552765120