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739980077136 = 2432329199311597
BaseRepresentation
bin10101100010010100011…
…11111110100001010000
32121202000111001202012120
422301022033332201100
544110434344432021
61323535301054240
7104314252606116
oct12611217764120
92552014052176
10739980077136
1126590750a363
12bb4b59b7380
1354a1a365211
1427b5ada7ab6
15143ade562c6
hexac4a3fe850

739980077136 has 160 divisors (see below), whose sum is σ = 2064726063360. Its totient is φ = 227666030592.

The previous prime is 739980077119. The next prime is 739980077147. The reversal of 739980077136 is 631770089937.

It is a self number, because there is not a number n which added to its sum of digits gives 739980077136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63802090 + ... + 63813686.

It is an arithmetic number, because the mean of its divisors is an integer number (12904537896).

Almost surely, 2739980077136 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 739980077136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032363031680).

739980077136 is an abundant number, since it is smaller than the sum of its proper divisors (1324745986224).

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

739980077136 is a wasteful number, since it uses less digits than its factorization.

739980077136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13653 (or 13647 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 60.

The spelling of 739980077136 in words is "seven hundred thirty-nine billion, nine hundred eighty million, seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 552 667 696 1104 1334 1392 1993 2001 2668 3986 4002 5336 5979 7972 8004 10672 11597 11958 15944 16008 23194 23916 31888 32016 34791 45839 46388 47832 57797 69582 91678 92776 95664 115594 137517 139164 173391 183356 185552 231188 266731 275034 278328 336313 346782 366712 462376 533462 550068 556656 672626 693564 733424 800193 924752 1008939 1066924 1100136 1329331 1345252 1387128 1600386 2017878 2133848 2200272 2658662 2690504 2774256 3200772 3987993 4035756 4267696 5317324 5381008 6401544 7735199 7975986 8071512 10634648 12803088 15470398 15951972 16143024 21269296 23112821 23205597 30940796 31903944 46225642 46411194 61881592 63807888 69338463 92451284 92822388 123763184 138676926 184902568 185644776 277353852 369805136 371289552 531594883 554707704 670271809 1063189766 1109415408 1340543618 1594784649 2010815427 2126379532 2681087236 3189569298 4021630854 4252759064 5362174472 6379138596 8043261708 8505518128 10724348944 12758277192 15416251607 16086523416 25516554384 30832503214 32173046832 46248754821 61665006428 92497509642 123330012856 184995019284 246660025712 369990038568 739980077136