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7680393140512 = 2523149577121379
BaseRepresentation
bin110111111000011101100…
…0110101101100100100000
31000012020102210200201021011
41233300323012231210200
52001313421120444022
624200153543510304
71421614205352121
oct157607306554440
930166383621234
107680393140512
1124a1266778234
12a40618158394
13439347999c61
141c7a39552048
15d4bb82e6977
hex6fc3b1ad920

7680393140512 has 96 divisors (see below), whose sum is σ = 15911752752000. Its totient is φ = 3642225573888.

The previous prime is 7680393140503. The next prime is 7680393140543. The reversal of 7680393140512 is 2150413930867.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63215439 + ... + 63336817.

It is an arithmetic number, because the mean of its divisors is an integer number (165747424500).

It is a 1-persistent number, because it is pandigital, but 2⋅7680393140512 = 15360786281024 is not.

Almost surely, 27680393140512 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 7680393140512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7955876376000).

7680393140512 is an abundant number, since it is smaller than the sum of its proper divisors (8231359611488).

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

7680393140512 is a wasteful number, since it uses less digits than its factorization.

7680393140512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122138 (or 122130 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 7680393140512 in words is "seven trillion, six hundred eighty billion, three hundred ninety-three million, one hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 149 184 298 368 577 596 736 1154 1192 2308 2384 3427 4616 4768 6854 9232 13271 13708 18464 26542 27416 53084 54832 85973 106168 109664 121379 171946 212336 242758 343892 424672 485516 687784 971032 1375568 1942064 1977379 2751136 2791717 3884128 3954758 5583434 7909516 11166868 15819032 18085471 22333736 31638064 36170942 44667472 63276128 70035683 72341884 89334944 140071366 144683768 280142732 289367536 415965833 560285464 578735072 831931666 1120570928 1610820709 1663863332 2241141856 3221641418 3327726664 6443282836 6655453328 10435316767 12886565672 13310906656 20870633534 25773131344 41741267068 51546262688 83482534136 166965068272 240012285641 333930136544 480024571282 960049142564 1920098285128 3840196570256 7680393140512