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132642171320 = 23531239344701
BaseRepresentation
bin111101110001000010…
…1101110100110111000
3110200101001122110021212
41323202011232212320
54133122343440240
6140533542022252
712403665565511
oct1734205564670
9420331573255
10132642171320
115128705859a
1221859717988
13c67b3c1709
1465c4367a08
1536b4cc4165
hex1ee216e9b8

132642171320 has 64 divisors (see below), whose sum is σ = 308207773440. Its totient is φ = 51322752000.

The previous prime is 132642171287. The next prime is 132642171331. The reversal of 132642171320 is 23171246231.

It is a super-2 number, since 2×1326421713202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 2944970 + ... + 2989670.

It is an arithmetic number, because the mean of its divisors is an integer number (4815746460).

Almost surely, 2132642171320 is an apocalyptic number.

132642171320 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 132642171320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103886720).

132642171320 is an abundant number, since it is smaller than the sum of its proper divisors (175565602120).

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

132642171320 is a wasteful number, since it uses less digits than its factorization.

132642171320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47136 (or 47132 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 132642171320 in words is "one hundred thirty-two billion, six hundred forty-two million, one hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2393 4786 9572 11965 19144 23930 44701 47860 74183 89402 95720 148366 178804 223505 296732 357608 370915 447010 593464 741830 894020 1385731 1483660 1788040 2771462 2967320 5542924 6928655 11085848 13857310 27714620 55429240 106969493 213938986 427877972 534847465 855755944 1069694930 2139389860 3316054283 4278779720 6632108566 13264217132 16580271415 26528434264 33160542830 66321085660 132642171320