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126115896384 = 2632147972
BaseRepresentation
bin111010101110100010…
…1111101110001000000
3110001112020022100010100
41311131011331301000
54031241132141014
6133534205202400
712053161301052
oct1653505756100
9401466270110
10126115896384
1149538154645
1220537b60400
13bb7b2a127a
1461656c38d2
153431d83009
hex1d5d17dc40

126115896384 has 63 divisors (see below), whose sum is σ = 361512877557. Its totient is φ = 42035791104.

The previous prime is 126115896353. The next prime is 126115896391. The reversal of 126115896384 is 483698511621.

It is a happy number.

The square root of 126115896384 is 355128.

It is a perfect power (a square), and thus also a powerful number.

126115896384 is a `hidden beast` number, since 1 + 26 + 1 + 1 + 589 + 6 + 38 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46293825600 + 79822070784 = 215160^2 + 282528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 126115896384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8515674 + ... + 8530470.

Almost surely, 2126115896384 is an apocalyptic number.

126115896384 is the 355128-th square number.

It is an amenable number.

126115896384 is an abundant number, since it is smaller than the sum of its proper divisors (235396981173).

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

126115896384 is an frugal number, since it uses more digits than its factorization.

126115896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29612 (or 14802 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 126115896384 in words is "one hundred twenty-six billion, one hundred fifteen million, eight hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 14797 29594 44391 59188 88782 118376 133173 177564 236752 266346 355128 473504 532692 710256 947008 1065384 1420512 2130768 2841024 4261536 8523072 218951209 437902418 656853627 875804836 1313707254 1751609672 1970560881 2627414508 3503219344 3941121762 5254829016 7006438688 7882243524 10509658032 14012877376 15764487048 21019316064 31528974096 42038632128 63057948192 126115896384