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114757062057 = 321167157263419
BaseRepresentation
bin110101011100000001…
…1011100110110101001
3101222012121122202201200
41222320003130312221
53340010301441212
6124415122034413
711201533635021
oct1527003346651
9358177582650
10114757062057
1144739408260
121a2a7aa8a09
13aa8ac19621
1457a8cc6a81
152eb9a626dc
hex1ab80dcda9

114757062057 has 96 divisors (see below), whose sum is σ = 185841976320. Its totient is φ = 67654604160.

The previous prime is 114757062037. The next prime is 114757062067. The reversal of 114757062057 is 750260757411.

114757062057 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 570 + 6 + 20 + 57 = 666.

It is not a de Polignac number, because 114757062057 - 216 = 114756996521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114757062037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273882994 + ... + 273883412.

It is an arithmetic number, because the mean of its divisors is an integer number (1935853920).

Almost surely, 2114757062057 is an apocalyptic number.

It is an amenable number.

114757062057 is a deficient number, since it is larger than the sum of its proper divisors (71084914263).

114757062057 is a wasteful number, since it uses less digits than its factorization.

114757062057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 114757062057 in words is "one hundred fourteen billion, seven hundred fifty-seven million, sixty-two thousand, fifty-seven".

Divisors: 1 3 9 11 33 67 99 157 201 263 419 471 603 737 789 1257 1413 1727 2211 2367 2893 3771 4609 5181 6633 8679 10519 13827 15543 17621 26037 28073 31557 41291 41481 52863 65783 84219 94671 110197 115709 123873 158589 193831 197349 252657 308803 330591 347127 371619 454201 581493 592047 723613 926409 991773 1041381 1212167 1362603 1744479 2170839 2766497 2779227 3636501 4087809 4407461 6512517 7383199 8299491 10909503 13222383 17300929 22149597 24898473 30431467 39667149 48482071 51902787 66448791 81215189 91294401 145446213 155708361 190310219 243645567 273883203 436338639 570930657 730936701 1159162243 1712791971 3477486729 10432460187 12750784673 38252354019 114757062057