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816791788076634 = 23429317207933849
BaseRepresentation
bin1011100110110111100010100…
…0011000100011111001011010
310222010000112101002020211220000
42321231320220120203321122
51324024304040221423014
612013100544540313430
7334021154640331116
oct27155705030437132
93863015332224800
10816791788076634
112172894a7718927
1277737879242876
132909b19ab19c06
141059ad0d664746
15646696751c509
hex2e6de28623e5a

816791788076634 has 40 divisors (see below), whose sum is σ = 1836465116339700. Its totient is φ = 271334700915264.

The previous prime is 816791788076567. The next prime is 816791788076639. The reversal of 816791788076634 is 436670887197618.

It can be written as a sum of positive squares in 2 ways, for example, as 804945133118025 + 11846654958609 = 28371555^2 + 3441897^2 .

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (816791788076639) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8603919459 + ... + 8604014390.

Almost surely, 2816791788076634 is an apocalyptic number.

816791788076634 is an abundant number, since it is smaller than the sum of its proper divisors (1019673328263066).

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

816791788076634 is a wasteful number, since it uses less digits than its factorization.

816791788076634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17207934156 (or 17207934147 counting only the distinct ones).

The product of its (nonzero) digits is 4096770048, while the sum is 81.

The spelling of 816791788076634 in words is "eight hundred sixteen trillion, seven hundred ninety-one billion, seven hundred eighty-eight million, seventy-six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 293 586 879 1758 2637 5274 7911 15822 23733 47466 17207933849 34415867698 51623801547 103247603094 154871404641 309742809282 464614213923 929228427846 1393842641769 2787685283538 5041924617757 10083849235514 15125773853271 30251547706542 45377321559813 90754643119626 136131964679439 272263929358878 408395894038317 816791788076634