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40530638496 = 25329130311173
BaseRepresentation
bin100101101111110100…
…000111011010100000
310212121122112202200010
4211233310013122200
51131001320412441
630341452124520
72633246512545
oct455764073240
9125548482603
1040530638496
1116209541657
127a31766740
133a8bca413a
141d66c5abcc
1510c33a3116
hex96fd076a0

40530638496 has 96 divisors (see below), whose sum is σ = 110155973760. Its totient is φ = 13033165824.

The previous prime is 40530638483. The next prime is 40530638513. The reversal of 40530638496 is 69483603504.

40530638496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3621966 + ... + 3633138.

It is an arithmetic number, because the mean of its divisors is an integer number (1147458060).

Almost surely, 240530638496 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 40530638496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55077986880).

40530638496 is an abundant number, since it is smaller than the sum of its proper divisors (69625335264).

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

40530638496 is a wasteful number, since it uses less digits than its factorization.

40530638496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12518 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 40530638496 in words is "forty billion, five hundred thirty million, six hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1303 1392 2606 2784 3909 5212 7818 10424 11173 15636 20848 22346 31272 33519 37787 41696 44692 62544 67038 75574 89384 113361 125088 134076 151148 178768 226722 268152 302296 324017 357536 453444 536304 604592 648034 906888 972051 1072608 1209184 1296068 1813776 1944102 2592136 3627552 3888204 5184272 7776408 10368544 14558419 15552816 29116838 31105632 43675257 58233676 87350514 116467352 174701028 232934704 349402056 422194151 465869408 698804112 844388302 1266582453 1397608224 1688776604 2533164906 3377553208 5066329812 6755106416 10132659624 13510212832 20265319248 40530638496