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76782774096 = 2433740962081
BaseRepresentation
bin100011110000010011…
…1000010011101010000
321100012010100001202000
41013200213002131100
52224222342232341
655135025154000
75355514545150
oct1074047023520
9240163301660
1076782774096
112a6219686a6
1212a6a48b900
137318744752
143a05788760
151ee5d1b8b6
hex11e09c2750

76782774096 has 160 divisors (see below), whose sum is σ = 252499910400. Its totient is φ = 21883944960.

The previous prime is 76782774083. The next prime is 76782774097. The reversal of 76782774096 is 69047728767.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76782774097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1205776 + ... + 1267856.

It is an arithmetic number, because the mean of its divisors is an integer number (1578124440).

Almost surely, 276782774096 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 76782774096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126249955200).

76782774096 is an abundant number, since it is smaller than the sum of its proper divisors (175717136304).

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

76782774096 is a wasteful number, since it uses less digits than its factorization.

76782774096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62514 (or 62502 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 76782774096 in words is "seventy-six billion, seven hundred eighty-two million, seven hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 409 432 504 756 818 1008 1227 1512 1636 2454 2863 3024 3272 3681 4908 5726 6544 7362 8589 9816 11043 11452 14724 17178 19632 22086 22904 25767 29448 34356 44172 45808 51534 58896 62081 68712 77301 88344 103068 124162 137424 154602 176688 186243 206136 248324 309204 372486 412272 434567 496648 558729 618408 744972 869134 993296 1117458 1236816 1303701 1489944 1676187 1738268 2234916 2607402 2979888 3352374 3476536 3911103 4469832 5214804 6704748 6953072 7822206 8939664 10429608 11733309 13409496 15644412 20859216 23466618 25391129 26818992 31288824 46933236 50782258 62577648 76173387 93866472 101564516 152346774 177737903 187732944 203129032 228520161 304693548 355475806 406258064 457040322 533213709 609387096 685560483 710951612 914080644 1066427418 1218774192 1371120966 1421903224 1599641127 1828161288 2132854836 2742241932 2843806448 3199282254 3656322576 4265709672 4798923381 5484483864 6398564508 8531419344 9597846762 10968967728 12797129016 19195693524 25594258032 38391387048 76782774096