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76690294272 = 293237449807
BaseRepresentation
bin100011101101100011…
…0010000011000000000
321022221200022121021100
41013123012100120000
52224030203404042
655121523054400
75353312513524
oct1073306203000
9238850277240
1076690294272
112a584743199
1212a43511400
137302534b67
1439d7393d84
151edcb5024c
hex11db190600

76690294272 has 120 divisors (see below), whose sum is σ = 227315870496. Its totient is φ = 24872472576.

The previous prime is 76690294231. The next prime is 76690294381. The reversal of 76690294272 is 27249209667.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54408 + ... + 395399.

Almost surely, 276690294272 is an apocalyptic number.

76690294272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76690294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113657935248).

76690294272 is an abundant number, since it is smaller than the sum of its proper divisors (150625576224).

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

76690294272 is a wasteful number, since it uses less digits than its factorization.

76690294272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449868 (or 449849 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 76690294272 in words is "seventy-six billion, six hundred ninety million, two hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1152 1184 1332 1536 1776 2304 2368 2664 3552 4608 4736 5328 7104 9472 10656 14208 18944 21312 28416 42624 56832 85248 170496 449807 899614 1349421 1799228 2698842 3598456 4048263 5397684 7196912 8096526 10795368 14393824 16193052 16642859 21590736 28787648 32386104 33285718 43181472 49928577 57575296 64772208 66571436 86362944 99857154 115150592 129544416 133142872 149785731 172725888 199714308 230301184 259088832 266285744 299571462 345451776 399428616 518177664 532571488 599142924 690903552 798857232 1036355328 1065142976 1198285848 1597714464 2072710656 2130285952 2396571696 3195428928 4260571904 4793143392 6390857856 8521143808 9586286784 12781715712 19172573568 25563431424 38345147136 76690294272