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78053472756 = 223271075575197
BaseRepresentation
bin100100010110001011…
…0010111100111110100
321110110200101020121100
41020230112113213310
52234323142112011
655505100450100
75432144400030
oct1105426274764
9243420336540
1078053472756
1130114172386
1213163b49930
13748ba9074c
143ac643d1c0
15206c66ed56
hex122c5979f4

78053472756 has 144 divisors (see below), whose sum is σ = 228047654016. Its totient is φ = 22048664832.

The previous prime is 78053472751. The next prime is 78053472781. The reversal of 78053472756 is 65727435087.

It is a happy number.

78053472756 is a `hidden beast` number, since 7 + 80 + 534 + 7 + 27 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78053472751) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15016350 + ... + 15021546.

It is an arithmetic number, because the mean of its divisors is an integer number (1583664264).

Almost surely, 278053472756 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 78053472756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114023827008).

78053472756 is an abundant number, since it is smaller than the sum of its proper divisors (149994181260).

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

78053472756 is a wasteful number, since it uses less digits than its factorization.

78053472756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 78053472756 in words is "seventy-eight billion, fifty-three million, four hundred seventy-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 557 642 749 963 1114 1284 1498 1671 1926 2228 2247 2996 3342 3852 3899 4494 5013 5197 6684 6741 7798 8988 10026 10394 11697 13482 15591 15596 20052 20788 23394 26964 31182 35091 36379 46773 46788 59599 62364 70182 72758 93546 109137 119198 140364 145516 178797 187092 218274 238396 327411 357594 417193 436548 536391 556079 654822 715188 834386 1072782 1112158 1251579 1309644 1668237 1668772 2145564 2224316 2503158 2894729 3336474 3754737 3892553 5004711 5006316 5789458 6672948 7509474 7785106 8684187 10009422 11578916 11677659 15018948 15570212 17368374 20018844 20263103 23355318 26052561 34736748 35032977 40526206 46710636 52105122 60789309 70065954 81052412 104210244 121578618 140131908 182367927 243157236 309736003 364735854 619472006 729471708 929208009 1238944012 1858416018 2168152021 2787624027 3716832036 4336304042 5575248054 6504456063 8672608084 11150496108 13008912126 19513368189 26017824252 39026736378 78053472756