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48084426500840 = 23517100970081657
BaseRepresentation
bin10101110111011100001110…
…01010010010101011101000
320022020211022100200000210022
422323232013022102223220
522300303401141011330
6250133403001140012
713061661625345652
oct1273560712225350
9208224270600708
1048084426500840
1114359544223a44
12548710118a608
1320aa45a3a4aa2
14bc34277496d2
15585bbda71ae5
hex2bbb87292ae8

48084426500840 has 64 divisors (see below), whose sum is σ = 114667608819600. Its totient is φ = 18084431167488.

The previous prime is 48084426500797. The next prime is 48084426500843. The reversal of 48084426500840 is 4800562448084.

It can be written as a sum of positive squares in 8 ways, for example, as 35166109730404 + 12918316770436 = 5930102^2 + 3594206^2 .

It is a super-3 number, since 3×480844265008403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (48084426500843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34354709 + ... + 35726948.

Almost surely, 248084426500840 is an apocalyptic number.

48084426500840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48084426500840 is an abundant number, since it is smaller than the sum of its proper divisors (66583182318760).

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

48084426500840 is a wasteful number, since it uses less digits than its factorization.

48084426500840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70082694 (or 70082690 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 53.

The spelling of 48084426500840 in words is "forty-eight trillion, eighty-four billion, four hundred twenty-six million, five hundred thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1009 2018 4036 5045 8072 10090 17153 20180 34306 40360 68612 85765 137224 171530 343060 686120 70081657 140163314 280326628 350408285 560653256 700816570 1191388169 1401633140 2382776338 2803266280 4765552676 5956940845 9531105352 11913881690 23827763380 47655526760 70712391913 141424783826 282849567652 353561959565 565699135304 707123919130 1202110662521 1414247838260 2404221325042 2828495676520 4808442650084 6010553312605 9616885300168 12021106625210 24042213250420 48084426500840