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132376590336 = 211323819049
BaseRepresentation
bin111101101001001000…
…0100111100000000000
3110122200112220112200010
41323102100213200000
54132101401342321
6140451333424520
712364262311104
oct1732220474000
9418615815603
10132376590336
1151160152681
12217a479b140
13c6383850c3
14659ad93904
15369b813676
hex1ed2427800

132376590336 has 96 divisors (see below), whose sum is σ = 353105298000. Its totient is φ = 44102123520.

The previous prime is 132376590289. The next prime is 132376590337. The reversal of 132376590336 is 633095673231.

132376590336 is digitally balanced in base 3, 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132376590337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14624340 + ... + 14633388.

Almost surely, 2132376590336 is an apocalyptic number.

132376590336 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 132376590336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176552649000).

132376590336 is an abundant number, since it is smaller than the sum of its proper divisors (220728707664).

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

132376590336 is an equidigital number, since it uses as much as digits as its factorization.

132376590336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11455 (or 11435 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 48.

The spelling of 132376590336 in words is "one hundred thirty-two billion, three hundred seventy-six million, five hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2381 3072 4762 6144 7143 9049 9524 14286 18098 19048 27147 28572 36196 38096 54294 57144 72392 76192 108588 114288 144784 152384 217176 228576 289568 304768 434352 457152 579136 609536 868704 914304 1158272 1219072 1737408 1828608 2316544 2438144 3474816 3657216 4633088 4876288 6949632 7314432 9266176 13899264 14628864 18532352 21545669 27798528 43091338 55597056 64637007 86182676 129274014 172365352 258548028 344730704 517096056 689461408 1034192112 1378922816 2068384224 2757845632 4136768448 5515691264 8273536896 11031382528 16547073792 22062765056 33094147584 44125530112 66188295168 132376590336