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133037473324 = 227231710692003
BaseRepresentation
bin111101111100110100…
…1101011111000101100
3110201101121110212200211
41323321221223320230
54134430043121244
6141041102432204
712416535602500
oct1737151537054
9421347425624
10133037473324
115146a204868
1221949b92664
13c712279822
146620a68300
1536d985a934
hex1ef9a6be2c

133037473324 has 72 divisors (see below), whose sum is σ = 272070534960. Its totient is φ = 56754681984.

The previous prime is 133037473321. The next prime is 133037473367. The reversal of 133037473324 is 423374730331.

It is not an unprimeable number, because it can be changed into a prime (133037473321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66418107 + ... + 66420109.

It is an arithmetic number, because the mean of its divisors is an integer number (3778757430).

Almost surely, 2133037473324 is an apocalyptic number.

133037473324 is a gapful number since it is divisible by the number (14) 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 133037473324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136035267480).

133037473324 is an abundant number, since it is smaller than the sum of its proper divisors (139033061636).

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

133037473324 is a wasteful number, since it uses less digits than its factorization.

133037473324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 40.

The spelling of 133037473324 in words is "one hundred thirty-three billion, thirty-seven million, four hundred seventy-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 317 634 1069 1268 2003 2138 2219 4006 4276 4438 7483 8012 8876 14021 14966 15533 28042 29932 31066 52381 56084 62132 98147 104762 196294 209524 338873 392588 634951 677746 1269902 1355492 2141207 2372111 2539804 4282414 4444657 4744222 8564828 8889314 9488444 14988449 16604777 17778628 29976898 31112599 33209554 59953796 62225198 66419108 104919143 124450396 209838286 419676572 678762619 1357525238 2715050476 4751338333 9502676666 19005353332 33259368331 66518736662 133037473324