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132070372256 = 25197923311801
BaseRepresentation
bin111101100000000000…
…0011111001110100000
3110121220012201001102202
41323000000133032200
54130440003403011
6140401114232332
712353553433034
oct1730000371640
9417805631382
10132070372256
1151013311489
122171a1256a8
13c5b9abac84
14656c4421c4
15367e9c723b
hex1ec001f3a0

132070372256 has 96 divisors (see below), whose sum is σ = 278376134400. Its totient is φ = 61497446400.

The previous prime is 132070372253. The next prime is 132070372279. The reversal of 132070372256 is 652273070231.

It is a happy number.

132070372256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (132070372253) 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, 11185556 + ... + 11197356.

It is an arithmetic number, because the mean of its divisors is an integer number (2899751400).

Almost surely, 2132070372256 is an apocalyptic number.

132070372256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132070372256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139188067200).

132070372256 is an abundant number, since it is smaller than the sum of its proper divisors (146305762144).

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

132070372256 is a wasteful number, since it uses less digits than its factorization.

132070372256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12142 (or 12134 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 132070372256 in words is "one hundred thirty-two billion, seventy million, three hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 79 152 158 233 304 316 466 608 632 932 1264 1501 1864 2528 3002 3728 4427 6004 7456 8854 11801 12008 17708 18407 23602 24016 35416 36814 47204 48032 70832 73628 94408 141664 147256 188816 224219 294512 349733 377632 448438 589024 699466 896876 932279 1398932 1793752 1864558 2749633 2797864 3587504 3729116 5499266 5595728 7175008 7458232 10998532 11191456 14916464 17713301 21997064 29832928 35426602 43994128 52243027 70853204 87988256 104486054 141706408 208972108 217221007 283412816 417944216 434442014 566825632 835888432 868884028 1671776864 1737768056 3475536112 4127199133 6951072224 8254398266 16508796532 33017593064 66035186128 132070372256