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540252146364 = 2237347112916417
BaseRepresentation
bin1111101110010011000…
…10011000101010111100
31220122111002201121112020
413313021202120222330
532322414022140424
61052104410240140
754013644321630
oct7671142305274
91818432647466
10540252146364
11199135285867
1288855426050
133bc3a514968
141c2110a8dc0
15e0be825079
hex7dc9898abc

540252146364 has 96 divisors (see below), whose sum is σ = 1446192007680. Its totient is φ = 153767227392.

The previous prime is 540252146351. The next prime is 540252146377. The reversal of 540252146364 is 463641252045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540252146351) and next prime (540252146377).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32899884 + ... + 32916300.

It is an arithmetic number, because the mean of its divisors is an integer number (15064500080).

Almost surely, 2540252146364 is an apocalyptic number.

It is an amenable number.

540252146364 is an abundant number, since it is smaller than the sum of its proper divisors (905939861316).

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

540252146364 is a wasteful number, since it uses less digits than its factorization.

540252146364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17907 (or 17905 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 540252146364 in words is "five hundred forty billion, two hundred fifty-two million, one hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 347 694 1041 1129 1388 2082 2258 2429 3387 4164 4516 4858 6774 7287 7903 9716 13548 14574 15806 16417 23709 29148 31612 32834 47418 49251 65668 94836 98502 114919 197004 229838 344757 391763 459676 689514 783526 1175289 1379028 1567052 2350578 2742341 4701156 5484682 5696699 8227023 10969364 11393398 16454046 17090097 18534793 22786796 32908092 34180194 37069586 39876893 55604379 68360388 74139172 79753786 111208758 119630679 129743551 159507572 222417516 239261358 259487102 389230653 478522716 518974204 778461306 1556922612 6431573171 12863146342 19294719513 25726292684 38589439026 45021012197 77178878052 90042024394 135063036591 180084048788 270126073182 540252146364