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2696536764 = 2233371993391
BaseRepresentation
bin1010000010111001…
…1110001010111100
320221221000021001000
42200232132022330
521010303134024
61123324050300
7123552120135
oct24056361274
96857007030
102696536764
111164140a89
12633093990
1333c8732ac
141b81b0c8c
1510baedcc9
hexa0b9e2bc

2696536764 has 96 divisors (see below), whose sum is σ = 7218176000. Its totient is φ = 869901120.

The previous prime is 2696536763. The next prime is 2696536769. The reversal of 2696536764 is 4676356962.

2696536764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2696536764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696536763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793509 + ... + 796899.

Almost surely, 22696536764 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 2696536764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609088000).

2696536764 is an abundant number, since it is smaller than the sum of its proper divisors (4521639236).

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

2696536764 is a wasteful number, since it uses less digits than its factorization.

2696536764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3632 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 2696536764 is about 51928.1885299304. The cubic root of 2696536764 is about 1391.8810280305.

The spelling of 2696536764 in words is "two billion, six hundred ninety-six million, five hundred thirty-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 199 222 333 398 444 597 666 796 999 1194 1332 1791 1998 2388 3391 3582 3996 5373 6782 7164 7363 10173 10746 13564 14726 20346 21492 22089 29452 30519 40692 44178 61038 66267 88356 91557 122076 125467 132534 183114 198801 250934 265068 366228 376401 397602 501868 674809 752802 795204 1129203 1349618 1505604 2024427 2258406 2699236 3387609 4048854 4516812 6073281 6775218 8097708 12146562 13550436 18219843 24293124 24967933 36439686 49935866 72879372 74903799 99871732 149807598 224711397 299615196 449422794 674134191 898845588 1348268382 2696536764