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132052460960 = 2557160773369
BaseRepresentation
bin111101011111011110…
…0001010010110100000
3110121211222000001202102
41322332330022112200
54130420412222320
6140355234305532
712353245253360
oct1727674122640
9417758001672
10132052460960
1151004198462
12217141282a8
13c5b6189484
146569cdc9a0
15367d13a175
hex1ebef0a5a0

132052460960 has 96 divisors (see below), whose sum is σ = 356768375040. Its totient is φ = 45246339072.

The previous prime is 132052460921. The next prime is 132052460983. The reversal of 132052460960 is 69064250231.

132052460960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763156 + ... + 1836524.

It is an arithmetic number, because the mean of its divisors is an integer number (3716337240).

Almost surely, 2132052460960 is an apocalyptic number.

132052460960 is a gapful number since it is divisible by the number (10) 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 132052460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178384187520).

132052460960 is an abundant number, since it is smaller than the sum of its proper divisors (224715914080).

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

132052460960 is a wasteful number, since it uses less digits than its factorization.

132052460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74998 (or 74990 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 132052460960 in words is "one hundred thirty-two billion, fifty-two million, four hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1607 3214 6428 8035 11249 12856 16070 22498 25712 32140 44996 51424 56245 64280 73369 89992 112490 128560 146738 179984 224980 257120 293476 359968 366845 449960 513583 586952 733690 899920 1027166 1173904 1467380 1799840 2054332 2347808 2567915 2934760 4108664 5135830 5869520 8217328 10271660 11739040 16434656 20543320 41086640 82173280 117903983 235807966 471615932 589519915 825327881 943231864 1179039830 1650655762 1886463728 2358079660 3301311524 3772927456 4126639405 4716159320 6602623048 8253278810 9432318640 13205246096 16506557620 18864637280 26410492192 33013115240 66026230480 132052460960