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4045692912 = 2431713137847
BaseRepresentation
bin1111000100100100…
…0101111111110000
3101102221200111100020
43301021011333300
531241144133122
61505241123440
7202153552032
oct36111057760
911387614306
104045692912
111796762a68
1294aa89580
134c622c541
142a5449c52
1518a29dc5c
hexf1245ff0

4045692912 has 80 divisors (see below), whose sum is σ = 11150929152. Its totient is φ = 1259514880.

The previous prime is 4045692907. The next prime is 4045692919. The reversal of 4045692912 is 2192965404.

It is a super-2 number, since 2×40456929122 = 32735262276414079488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045692919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87973 + ... + 125819.

Almost surely, 24045692912 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 4045692912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575464576).

4045692912 is an abundant number, since it is smaller than the sum of its proper divisors (7105236240).

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

4045692912 is a wasteful number, since it uses less digits than its factorization.

4045692912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38006 (or 38000 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4045692912 is about 63605.7616258150. The cubic root of 4045692912 is about 1593.4225960663.

The spelling of 4045692912 in words is "four billion, forty-five million, six hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 204 262 272 393 408 524 786 816 1048 1572 2096 2227 3144 4454 6288 6681 8908 13362 17816 26724 35632 37847 53448 75694 106896 113541 151388 227082 302776 454164 605552 643399 908328 1286798 1816656 1930197 2573596 3860394 4957957 5147192 7720788 9915914 10294384 14873871 15441576 19831828 29747742 30883152 39663656 59495484 79327312 84285269 118990968 168570538 237981936 252855807 337141076 505711614 674282152 1011423228 1348564304 2022846456 4045692912