Search a number
-
+
132960701748 = 22372373979719
BaseRepresentation
bin111101111010100010…
…0110100110100110100
3110201012021000110220010
41323311010310310310
54134300414423443
6141025321140220
712414614213610
oct1736504646464
9421167013803
10132960701748
115142a939186
122192832a670
13c6cc3a9a64
1466147a2340
1536d2c43733
hex1ef5134d34

132960701748 has 192 divisors, whose sum is σ = 378951229440. Its totient is φ = 35466190848.

The previous prime is 132960701681. The next prime is 132960701773. The reversal of 132960701748 is 847107069231.

It is a happy number.

It is a super-2 number, since 2×1329607017482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132960701697 and 132960701706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13675633 + ... + 13685351.

It is an arithmetic number, because the mean of its divisors is an integer number (1973704320).

Almost surely, 2132960701748 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 132960701748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189475614720).

132960701748 is an abundant number, since it is smaller than the sum of its proper divisors (245990527692).

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

132960701748 is a wasteful number, since it uses less digits than its factorization.

132960701748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9926 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 132960701748 in words is "one hundred thirty-two billion, nine hundred sixty million, seven hundred one thousand, seven hundred forty-eight".