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78396640036 = 22114132892
BaseRepresentation
bin100100100000011001…
…1011100101100100100
321111100121002221121121
41021000303130230210
52241024014440121
6100003120023324
75443512305521
oct1110063345444
9244317087547
1078396640036
113027a950000
121323aa61b44
137514bc3900
143b19c4c148
15208c859141
hex1240cdcb24

78396640036 has 135 divisors (see below), whose sum is σ = 165270975555. Its totient is φ = 32524103040.

The previous prime is 78396640019. The next prime is 78396640051. The reversal of 78396640036 is 63004669387.

The square root of 78396640036 is 279994.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34273116900 + 44123523136 = 185130^2 + 210056^2 .

It is a super-2 number, since 2×783966400362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 880861080 + ... + 880861168.

Almost surely, 278396640036 is an apocalyptic number.

78396640036 is the 279994-th square number.

It is an amenable number.

78396640036 is an abundant number, since it is smaller than the sum of its proper divisors (86874335519).

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

78396640036 is an equidigital number, since it uses as much as digits as its factorization.

78396640036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 78396640036 in words is "seventy-eight billion, three hundred ninety-six million, six hundred forty thousand, thirty-six".

Divisors: 1 2 4 11 13 22 26 44 52 89 121 143 169 178 242 286 338 356 484 572 676 979 1157 1331 1573 1859 1958 2314 2662 3146 3718 3916 4628 5324 6292 7436 7921 10769 12727 14641 15041 15842 17303 20449 21538 25454 29282 30082 31684 34606 40898 43076 50908 58564 60164 69212 81796 87131 102973 118459 139997 165451 174262 190333 205946 224939 236918 279994 330902 348524 380666 411892 449878 473836 559988 661804 761332 899756 958441 1132703 1303049 1338649 1539967 1819961 1916882 2265406 2474329 2606098 2677298 3079934 3639922 3833764 4530812 4948658 5212196 5354596 6159868 7279844 9897316 10542851 12459733 14725139 16939637 20019571 21085702 24919466 29450278 33879274 40039142 42171404 49838932 58900556 67758548 80078284 115971361 137057063 161976529 220215281 231942722 274114126 323953058 440430562 463885444 548228252 647906116 880861124 1507627693 1781741819 3015255386 3563483638 6030510772 7126967276 19599160009 39198320018 78396640036