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78002631480 = 23352397291359
BaseRepresentation
bin100100010100101010…
…0011011001100111000
321110100010201020111010
41020221110123030320
52234222133201410
655500043033520
75430656266524
oct1105124331470
9243303636433
1078002631480
11300984a75a4
121314ab0b8a0
13748139c457
143abd7a6d84
152067e7ac20
hex122951b338

78002631480 has 128 divisors (see below), whose sum is σ = 246700339200. Its totient is φ = 19691139072.

The previous prime is 78002631463. The next prime is 78002631517. The reversal of 78002631480 is 8413620087.

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, 122041 + ... + 413399.

It is an arithmetic number, because the mean of its divisors is an integer number (1927346400).

Almost surely, 278002631480 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 78002631480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123350169600).

78002631480 is an abundant number, since it is smaller than the sum of its proper divisors (168697707720).

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

78002631480 is a wasteful number, since it uses less digits than its factorization.

78002631480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291493 (or 291489 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 78002631480 in words is "seventy-eight billion, two million, six hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 97 115 120 138 184 194 230 276 291 345 388 460 485 552 582 690 776 920 970 1164 1380 1455 1940 2231 2328 2760 2910 3880 4462 5820 6693 8924 11155 11640 13386 17848 22310 26772 33465 44620 53544 66930 89240 133860 267720 291359 582718 874077 1165436 1456795 1748154 2330872 2913590 3496308 4370385 5827180 6701257 6992616 8740770 11654360 13402514 17481540 20103771 26805028 28261823 33506285 34963080 40207542 53610056 56523646 67012570 80415084 84785469 100518855 113047292 134025140 141309115 160830168 169570938 201037710 226094584 268050280 282618230 339141876 402075420 423927345 565236460 650021929 678283752 804150840 847854690 1130472920 1300043858 1695709380 1950065787 2600087716 3250109645 3391418760 3900131574 5200175432 6500219290 7800263148 9750328935 13000438580 15600526296 19500657870 26000877160 39001315740 78002631480