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46438242547983 = 311131012634075129
BaseRepresentation
bin10101000111100001111101…
…11100110111100100001111
320002102110012222010122202120
422203300332330313210033
522041321010043013413
6242433233434024023
712532023640542006
oct1243607674674417
9202373188118676
1046438242547983
1113884391304180
125260061578013
131cbb1521a45c0
14b678a1479c3d
15557e72b33723
hex2a3c3ef3790f

46438242547983 has 64 divisors (see below), whose sum is σ = 73741987630080. Its totient is φ = 25624404864000.

The previous prime is 46438242547919. The next prime is 46438242548029. The reversal of 46438242547983 is 38974524283464.

It is a happy number.

It is not a de Polignac number, because 46438242547983 - 26 = 46438242547919 is a prime.

It is a super-3 number, since 3×464382425479833 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46438242527983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9357963 + ... + 13433091.

It is an arithmetic number, because the mean of its divisors is an integer number (1152218556720).

Almost surely, 246438242547983 is an apocalyptic number.

46438242547983 is a deficient number, since it is larger than the sum of its proper divisors (27303745082097).

46438242547983 is a wasteful number, since it uses less digits than its factorization.

46438242547983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075520.

The product of its digits is 1114767360, while the sum is 69.

The spelling of 46438242547983 in words is "forty-six trillion, four hundred thirty-eight billion, two hundred forty-two million, five hundred forty-seven thousand, nine hundred eighty-three".

Divisors: 1 3 11 13 33 39 101 143 263 303 429 789 1111 1313 2893 3333 3419 3939 8679 10257 14443 26563 37609 43329 79689 112827 292193 345319 876579 1035957 3798509 4075129 11395527 12225387 44826419 52976677 134479257 158930031 411588029 582743447 1071758927 1234764087 1748230341 3215276781 4527468319 5350644377 11789348197 13582404957 13932866051 16051933131 35368044591 41798598153 58857088147 108247651627 153261526561 176571264441 324742954881 459784579683 1190724167897 1407219471151 3572172503691 4221658413453 15479414182661 46438242547983