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132572665320720 = 24357128759270527
BaseRepresentation
bin11110001001001011111010…
…100111111001010100010000
3122101101211012222200121112020
4132021023322213321110100
5114334032304310230340
61145543013000131440
736632026143134202
oct3611137247712420
9571354188617466
10132572665320720
113927282a458479
1212a51579466b80
1358c8719645601
1424a47a0850772
15104d7bc79e9d0
hex7892fa9f9510

132572665320720 has 160 divisors (see below), whose sum is σ = 416779678679040. Its totient is φ = 34853444451840.

The previous prime is 132572665320703. The next prime is 132572665320757. The reversal of 132572665320720 is 27023566275231.

It is a super-2 number, since 2×1325726653207202 (a number of 29 digits) contains 22 as substring.

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, 489918097 + ... + 490188623.

It is an arithmetic number, because the mean of its divisors is an integer number (2604872991744).

Almost surely, 2132572665320720 is an apocalyptic number.

132572665320720 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 132572665320720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208389839339520).

132572665320720 is an abundant number, since it is smaller than the sum of its proper divisors (284207013358320).

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

132572665320720 is a wasteful number, since it uses less digits than its factorization.

132572665320720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299373 (or 299367 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 51.

The spelling of 132572665320720 in words is "one hundred thirty-two trillion, five hundred seventy-two billion, six hundred sixty-five million, three hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 28759 57518 86277 115036 143795 172554 230072 270527 287590 345108 431385 460144 541054 575180 690216 811581 862770 1082108 1150360 1352635 1380432 1623162 1725540 2041889 2164216 2300720 2705270 3246324 3451080 4057905 4083778 4328432 5410540 6125667 6492648 6902160 8115810 8167556 10209445 10821080 12251334 12985296 16231620 16335112 19207417 20418890 21642160 24502668 30628335 32463240 32670224 38414834 40837780 49005336 57622251 61256670 64926480 76829668 81675560 96037085 98010672 115244502 122513340 153659336 163351120 192074170 230489004 245026680 288111255 307318672 384148340 460978008 490053360 576222510 768296680 921956016 1152445020 1536593360 2304890040 4609780080 7780085993 15560171986 23340257979 31120343972 38900429965 46680515958 62240687944 77800859930 93361031916 116701289895 124481375888 155601719860 186722063832 233402579790 311203439720 373444127664 466805159580 552386105503 622406879440 933610319160 1104772211006 1657158316509 1867220638320 2209544422012 2761930527515 3314316633018 4419088844024 5523861055030 6628633266036 8285791582545 8838177688048 11047722110060 13257266532072 16571583165090 22095444220120 26514533064144 33143166330180 44190888440240 66286332660360 132572665320720