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40807586496 = 2639719311353
BaseRepresentation
bin100110000000010100…
…100101101011000000
310220022221200011220110
4212000110211223000
51132033220231441
630425144111320
72643151522245
oct460024455300
9126287604813
1040807586496
11163409007a6
127aaa465540
133b044905b1
141d9194d5cc
1510dc85bb16
hex980525ac0

40807586496 has 112 divisors (see below), whose sum is σ = 109658021984. Its totient is φ = 13391364096.

The previous prime is 40807586453. The next prime is 40807586497. The reversal of 40807586496 is 69468570804.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (40807586497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3588756 + ... + 3600108.

It is an arithmetic number, because the mean of its divisors is an integer number (979089482).

Almost surely, 240807586496 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 40807586496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54829010992).

40807586496 is an abundant number, since it is smaller than the sum of its proper divisors (68850435488).

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

40807586496 is a wasteful number, since it uses less digits than its factorization.

40807586496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11658 (or 11648 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 40807586496 in words is "forty billion, eight hundred seven million, five hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 193 194 291 386 388 579 582 772 776 1158 1164 1544 1552 2316 2328 3088 3104 4632 4656 6176 6208 9264 9312 11353 12352 18528 18624 18721 22706 34059 37056 37442 45412 56163 68118 74884 90824 112326 136236 149768 181648 224652 272472 299536 363296 449304 544944 599072 726592 898608 1089888 1101241 1198144 1797216 2179776 2191129 2202482 3303723 3594432 4382258 4404964 6573387 6607446 8764516 8809928 13146774 13214892 17529032 17619856 26293548 26429784 35058064 35239712 52587096 52859568 70116128 70479424 105174192 105719136 140232256 210348384 211438272 212539513 420696768 425079026 637618539 850158052 1275237078 1700316104 2550474156 3400632208 5100948312 6801264416 10201896624 13602528832 20403793248 40807586496