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2690301696 = 28329199607
BaseRepresentation
bin1010000001011010…
…1011111100000000
320221111021111010120
42200112223330000
521002204123241
61122542300240
7123445121115
oct24026537400
96844244116
102690301696
111160672535
12630b87680
1333b49c2c4
141b742a90c
1510b2bb666
hexa05abf00

2690301696 has 144 divisors (see below), whose sum is σ = 7456512000. Its totient is φ = 860073984.

The previous prime is 2690301673. The next prime is 2690301707. The reversal of 2690301696 is 6961030962.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4431825 + ... + 4432431.

Almost surely, 22690301696 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 2690301696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728256000).

2690301696 is an abundant number, since it is smaller than the sum of its proper divisors (4766210304).

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

2690301696 is a wasteful number, since it uses less digits than its factorization.

2690301696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 2690301696 is about 51868.1183001659. The cubic root of 2690301696 is about 1390.8074076602.

The spelling of 2690301696 in words is "two billion, six hundred ninety million, three hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 199 232 256 348 384 398 464 597 607 696 768 796 928 1194 1214 1392 1592 1821 1856 2388 2428 2784 3184 3642 3712 4776 4856 5568 5771 6368 7284 7424 9552 9712 11136 11542 12736 14568 17313 17603 19104 19424 22272 23084 25472 29136 34626 35206 38208 38848 46168 50944 52809 58272 69252 70412 76416 77696 92336 105618 116544 120793 138504 140824 152832 155392 184672 211236 233088 241586 277008 281648 362379 369344 422472 466176 483172 554016 563296 724758 738688 844944 966344 1108032 1126592 1449516 1477376 1689888 1932688 2216064 2253184 2899032 3379776 3502997 3865376 4432128 4506368 5798064 6759552 7005994 7730752 10508991 11596128 13519104 14011988 15461504 21017982 23192256 28023976 30923008 42035964 46384512 56047952 84071928 92769024 112095904 168143856 224191808 336287712 448383616 672575424 896767232 1345150848 2690301696