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78543425536 = 2122921512
BaseRepresentation
bin100100100100110001…
…1011001000000000000
321111201211022102110121
41021021203121000000
52241324104104121
6100025442110024
75450244046552
oct1111143310000
9244654272417
1078543425536
1130345797134
121328004b314
137539438634
143b3153b4d2
15209a6a1141
hex12498d9000

78543425536 has 117 divisors (see below), whose sum is σ = 163754988033. Its totient is φ = 37666406400.

The previous prime is 78543425509. The next prime is 78543425617. The reversal of 78543425536 is 63552434587.

The square root of 78543425536 is 280256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41186267136 + 37357158400 = 202944^2 + 193280^2 .

It is a Duffinian number.

Its product of digits (12096000) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 520155061 + ... + 520155211.

Almost surely, 278543425536 is an apocalyptic number.

78543425536 is the 280256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78543425536

78543425536 is an abundant number, since it is smaller than the sum of its proper divisors (85211562497).

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

78543425536 is an frugal number, since it uses more digits than its factorization.

78543425536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 182 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 52.

The spelling of 78543425536 in words is "seventy-eight billion, five hundred forty-three million, four hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 151 232 256 302 464 512 604 841 928 1024 1208 1682 1856 2048 2416 3364 3712 4096 4379 4832 6728 7424 8758 9664 13456 14848 17516 19328 22801 26912 29696 35032 38656 45602 53824 59392 70064 77312 91204 107648 118784 126991 140128 154624 182408 215296 253982 280256 309248 364816 430592 507964 560512 618496 661229 729632 861184 1015928 1121024 1322458 1459264 1722368 2031856 2242048 2644916 2918528 3444736 4063712 4484096 5289832 5837056 8127424 8968192 10579664 11674112 16254848 17936384 19175641 21159328 23348224 32509696 38351282 42318656 46696448 65019392 76702564 84637312 93392896 130038784 153405128 169274624 260077568 306810256 338549248 520155136 613620512 677098496 1227241024 1354196992 2454482048 2708393984 4908964096 9817928192 19635856384 39271712768 78543425536