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7107434496 = 211321672309
BaseRepresentation
bin1101001111010001…
…01101100000000000
3200100022220002012200
412213220231200000
5104024000400441
63133132553200
7341062124241
oct64750554000
920308802180
107107434496
113017a63808
121464322800
13893650656
144b5d24cc8
152b8e8b7b6
hex1a7a2d800

7107434496 has 144 divisors (see below), whose sum is σ = 20659438800. Its totient is φ = 2353938432.

The previous prime is 7107434491. The next prime is 7107434497. The reversal of 7107434496 is 6944347017.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×71074344962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7107434491) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3076990 + ... + 3079298.

It is an arithmetic number, because the mean of its divisors is an integer number (143468325).

Almost surely, 27107434496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7107434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329719400).

7107434496 is an abundant number, since it is smaller than the sum of its proper divisors (13552004304).

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

7107434496 is a wasteful number, since it uses less digits than its factorization.

7107434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7107434496 is about 84305.6018067601. The cubic root of 7107434496 is about 1922.6679576588.

It can be divided in two parts, 71074 and 34496, that added together give a triangular number (105570 = T459).

The spelling of 7107434496 in words is "seven billion, one hundred seven million, four hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 501 512 576 668 768 1002 1024 1152 1336 1503 1536 2004 2048 2304 2309 2672 3006 3072 4008 4608 4618 5344 6012 6144 6927 8016 9216 9236 10688 12024 13854 16032 18432 18472 20781 21376 24048 27708 32064 36944 41562 42752 48096 55416 64128 73888 83124 85504 96192 110832 128256 147776 166248 171008 192384 221664 256512 295552 332496 342016 384768 385603 443328 513024 591104 664992 769536 771206 886656 1026048 1156809 1182208 1329984 1539072 1542412 1773312 2313618 2364416 2659968 3078144 3084824 3470427 3546624 4627236 4728832 5319936 6169648 6940854 7093248 9254472 10639872 12339296 13881708 14186496 18508944 21279744 24678592 27763416 37017888 42559488 49357184 55526832 74035776 98714368 111053664 148071552 197428736 222107328 296143104 394857472 444214656 592286208 789714944 888429312 1184572416 1776858624 2369144832 3553717248 7107434496