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80735266404 = 22341388121757
BaseRepresentation
bin100101100110000110…
…0100110011001100100
321201101120122110220000
41023030030212121210
52310321212011104
6101031140541300
75555460304302
oct1131414463144
9251346573800
1080735266404
113126aa53671
12137920b1830
1377c85712b0
143c9c693272
152177d0a639
hex12cc326664

80735266404 has 120 divisors (see below), whose sum is σ = 227561613048. Its totient is φ = 24812282880.

The previous prime is 80735266357. The next prime is 80735266433. The reversal of 80735266404 is 40466253708.

80735266404 is a `hidden beast` number, since 80 + 7 + 3 + 526 + 6 + 40 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5769921600 + 74965344804 = 75960^2 + 273798^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 80735266404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3699894 + ... + 3721650.

Almost surely, 280735266404 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 80735266404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113780806524).

80735266404 is an abundant number, since it is smaller than the sum of its proper divisors (146826346644).

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

80735266404 is a wasteful number, since it uses less digits than its factorization.

80735266404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22667 (or 22656 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 80735266404 in words is "eighty billion, seven hundred thirty-five million, two hundred sixty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 881 1053 1404 1762 2106 2643 3524 4212 5286 7929 10572 11453 15858 21757 22906 23787 31716 34359 43514 45812 47574 65271 68718 71361 87028 95148 103077 130542 137436 142722 195813 206154 261084 282841 285444 309231 391626 412308 565682 587439 618462 783252 848523 927693 1131364 1174878 1236924 1697046 1762317 1855386 2349756 2545569 3394092 3524634 3710772 5091138 7049268 7636707 10182276 15273414 19167917 22910121 30546828 38335834 45820242 57503751 76671668 91640484 115007502 172511253 230015004 249182921 345022506 498365842 517533759 690045012 747548763 996731684 1035067518 1495097526 1552601277 2070135036 2242646289 2990195052 3105202554 4485292578 6210405108 6727938867 8970585156 13455877734 20183816601 26911755468 40367633202 80735266404