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152032640448 = 26313615991667
BaseRepresentation
bin1000110110010111011…
…0011111110111000000
3112112102102020100101010
42031211312133313000
54442330323443243
6153502015040520
713661340056463
oct2154566376700
9475372210333
10152032640448
1159527509a97
122556b510140
131144b7145a0
1475037052da
153e4c28d433
hex2365d9fdc0

152032640448 has 224 divisors, whose sum is σ = 441296755200. Its totient is φ = 45908029440.

The previous prime is 152032640407. The next prime is 152032640453. The reversal of 152032640448 is 844046230251.

It is a super-2 number, since 2×1520326404482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91200511 + ... + 91202177.

It is an arithmetic number, because the mean of its divisors is an integer number (1970074800).

Almost surely, 2152032640448 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 152032640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220648377600).

152032640448 is an abundant number, since it is smaller than the sum of its proper divisors (289264114752).

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

152032640448 is a wasteful number, since it uses less digits than its factorization.

152032640448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 152032640448 its reverse (844046230251), we get a palindrome (996078870699).

The spelling of 152032640448 in words is "one hundred fifty-two billion, thirty-two million, six hundred forty thousand, four hundred forty-eight".