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132541562640 = 24354119736827
BaseRepresentation
bin111101101110000010…
…1111011111100010000
3110200010001100000010110
41323130011323330100
54132421120001030
6140515545401320
712401334456654
oct1733405737420
9420101300113
10132541562640
1151235290823
122182ba99240
13c6635c6b56
1465b4c58a64
1536ab04e1b0
hex1edc17bf10

132541562640 has 160 divisors (see below), whose sum is σ = 421175293056. Its totient is φ = 34459832320.

The previous prime is 132541562611. The next prime is 132541562641. The reversal of 132541562640 is 46265145231.

It is not an unprimeable number, because it can be changed into a prime (132541562641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19410907 + ... + 19417733.

Almost surely, 2132541562640 is an apocalyptic number.

132541562640 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 132541562640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210587646528).

132541562640 is an abundant number, since it is smaller than the sum of its proper divisors (288633730416).

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

132541562640 is a wasteful number, since it uses less digits than its factorization.

132541562640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8857 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 132541562640 in words is "one hundred thirty-two billion, five hundred forty-one million, five hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 1973 2460 3280 3946 4920 5919 6827 7892 9840 9865 11838 13654 15784 19730 20481 23676 27308 29595 31568 34135 39460 40962 47352 54616 59190 68270 78920 80893 81924 94704 102405 109232 118380 136540 157840 161786 163848 204810 236760 242679 273080 279907 323572 327696 404465 409620 473520 485358 546160 559814 647144 808930 819240 839721 970716 1119628 1213395 1294288 1399535 1617860 1638480 1679442 1941432 2239256 2426790 2799070 3235720 3358884 3882864 4198605 4478512 4853580 5598140 6471440 6717768 8397210 9707160 11196280 13435536 13469671 16794420 19414320 22392560 26939342 33588840 40409013 53878684 67177680 67348355 80818026 107757368 134696710 161636052 202045065 215514736 269393420 323272104 404090130 538786840 552256511 646544208 808180260 1077573680 1104513022 1616360520 1656769533 2209026044 2761282555 3232721040 3313539066 4418052088 5522565110 6627078132 8283847665 8836104176 11045130220 13254156264 16567695330 22090260440 26508312528 33135390660 44180520880 66270781320 132541562640