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34126865590496 = 257221764582647
BaseRepresentation
bin1111100001001110001111…
…01100110110100011100000
311110211111101221101012112012
413300213013230312203200
513433113310042343441
6200325355435052052
710121404354206500
oct760470754664340
9143744357335465
1034126865590496
11a968138a38578
1239b20222a1028
1316071c3927413
1485da6b7a1a00
153e2ab88539eb
hex1f09c7b368e0

34126865590496 has 36 divisors (see below), whose sum is σ = 78156616288968. Its totient is φ = 14625799538112.

The previous prime is 34126865590451. The next prime is 34126865590511. The reversal of 34126865590496 is 69409556862143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10882289756 + ... + 10882292891.

It is an arithmetic number, because the mean of its divisors is an integer number (2171017119138).

Almost surely, 234126865590496 is an apocalyptic number.

It is an amenable number.

34126865590496 is an abundant number, since it is smaller than the sum of its proper divisors (44029750698472).

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

34126865590496 is a wasteful number, since it uses less digits than its factorization.

34126865590496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21764582671 (or 21764582656 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 68.

The spelling of 34126865590496 in words is "thirty-four trillion, one hundred twenty-six billion, eight hundred sixty-five million, five hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 21764582647 43529165294 87058330588 152352078529 174116661176 304704157058 348233322352 609408314116 696466644704 1066464549703 1218816628232 2132929099406 2437633256464 4265858198812 4875266512928 8531716397624 17063432795248 34126865590496