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20462144514 = 237367148399
BaseRepresentation
bin10011000011101000…
…111000110000000010
31221211001010122100020
4103003220320300002
5313401302111024
613222234434310
71323033234000
oct230350706002
957731118306
1020462144514
118750390039
123b70892996
131c11367326
14dc1825a70
157eb607979
hex4c3a38c02

20462144514 has 64 divisors (see below), whose sum is σ = 48437760000. Its totient is φ = 5759029584.

The previous prime is 20462144501. The next prime is 20462144609. The reversal of 20462144514 is 41544126402.

It is a super-2 number, since 2×204621445142 (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 31 ways as a sum of consecutive naturals, for example, 63687 + ... + 212085.

It is an arithmetic number, because the mean of its divisors is an integer number (756840000).

Almost surely, 220462144514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20462144514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24218880000).

20462144514 is an abundant number, since it is smaller than the sum of its proper divisors (27975615486).

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

20462144514 is a wasteful number, since it uses less digits than its factorization.

20462144514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148492 (or 148478 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 20462144514 in words is "twenty billion, four hundred sixty-two million, one hundred forty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 343 402 469 686 938 1029 1407 2058 2814 3283 6566 9849 19698 22981 45962 68943 137886 148399 296798 445197 890394 1038793 2077586 3116379 6232758 7271551 9942733 14543102 19885466 21814653 29828199 43629306 50900857 59656398 69599131 101801714 139198262 152702571 208797393 305405142 417594786 487193917 974387834 1461581751 2923163502 3410357419 6820714838 10231072257 20462144514