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53101102116645 = 325116711549138637
BaseRepresentation
bin11000001001011100100000…
…10101000010111100100101
320222000102020002220012122200
430010232100111002330211
523430002024120213040
6304534150510045113
714120266545453612
oct1404562025027445
9228012202805580
1053101102116645
1115a13061890470
125b574237a9799
1323825491a482b
14d1816da91509
15621435241630
hex304b90542f25

53101102116645 has 96 divisors (see below), whose sum is σ = 101917562947200. Its totient is φ = 25359341483520.

The previous prime is 53101102116593. The next prime is 53101102116661. The reversal of 53101102116645 is 54661120110135.

53101102116645 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 1 + 1 + 0 + 2 + 1 + 1 + 6 + 645 = 666.

It is not a de Polignac number, because 53101102116645 - 26 = 53101102116581 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 382953267 + ... + 383091903.

It is an arithmetic number, because the mean of its divisors is an integer number (1061641280700).

Almost surely, 253101102116645 is an apocalyptic number.

53101102116645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

53101102116645 is a deficient number, since it is larger than the sum of its proper divisors (48816460830555).

53101102116645 is a wasteful number, since it uses less digits than its factorization.

53101102116645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150275 (or 150272 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 53101102116645 in words is "fifty-three trillion, one hundred one billion, one hundred two million, one hundred sixteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 67 99 165 201 335 495 603 737 1005 2211 3015 3685 6633 11055 11549 33165 34647 57745 103941 127039 138637 173235 381117 415911 519705 635195 693185 773783 1143351 1247733 1525007 1905585 2079555 2321349 3868915 4575021 5716755 6238665 6964047 7625035 8511613 9288679 11606745 13725063 22875105 25534839 27866037 34820235 42558065 46443395 68625315 76604517 83598111 102175469 127674195 139330185 306526407 383022585 417990555 510877345 919579221 1532632035 1601118713 4597896105 4803356139 8005593565 14410068417 17612305843 24016780695 52836917529 72050342085 88061529215 107274953771 158510752587 264184587645 321824861313 536374768855 792553762935 965474583939 1180024491481 1609124306565 3540073474443 4827372919695 5900122457405 10620220423329 17700367372215 53101102116645