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677420034456 = 2331119314356511
BaseRepresentation
bin10011101101110010110…
…00010110100110011000
32101202112120022022002210
421312321120112212120
542044324012100311
61235111422155120
766641046200124
oct11667130264630
92352476268083
10677420034456
11241323a49350
12ab356722aa0
134bb5a415399
1424b04514584
151294bab73a6
hex9db9616998

677420034456 has 128 divisors (see below), whose sum is σ = 2007480729600. Its totient is φ = 188201232000.

The previous prime is 677420034419. The next prime is 677420034463. The reversal of 677420034456 is 654430024776.

677420034456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2022760 + ... + 2333751.

It is an arithmetic number, because the mean of its divisors is an integer number (15683443200).

Almost surely, 2677420034456 is an apocalyptic number.

677420034456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

677420034456 is an abundant number, since it is smaller than the sum of its proper divisors (1330060695144).

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

677420034456 is a wasteful number, since it uses less digits than its factorization.

677420034456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356581 (or 4356577 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 677420034456 in words is "six hundred seventy-seven billion, four hundred twenty million, thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 31 33 38 44 57 62 66 76 88 93 114 124 132 152 186 209 228 248 264 341 372 418 456 589 627 682 744 836 1023 1178 1254 1364 1672 1767 2046 2356 2508 2728 3534 4092 4712 5016 6479 7068 8184 12958 14136 19437 25916 38874 51832 77748 155496 4356511 8713022 13069533 17426044 26139066 34852088 47921621 52278132 82773709 95843242 104556264 135051841 143764863 165547418 191686484 248321127 270103682 287529726 331094836 383372968 405155523 496642254 540207364 575059452 662189672 810311046 910510799 993284508 1080414728 1150118904 1485570251 1620622092 1821021598 1986569016 2565984979 2731532397 2971140502 3241244184 3642043196 4456710753 5131969958 5463064794 5942281004 7284086392 7697954937 8913421506 10263939916 10926129588 11884562008 15395909874 17826843012 20527879832 21852259176 28225834769 30791819748 35653686024 56451669538 61583639496 84677504307 112903339076 169355008614 225806678152 338710017228 677420034456