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132220456250625 = 325461577667837
BaseRepresentation
bin11110000100000011111001…
…010100111010110100000001
3122100011011002221012000200100
4132010003321110322310001
5114312244443300010000
61145113123345313013
736564420110342301
oct3604037124726401
9570134087160610
10132220456250625
1139147420634066
12129b5263335769
1358a14491bb122
14249170b85d601
15104455683ba00
hex7840f953ad01

132220456250625 has 120 divisors (see below), whose sum is σ = 242988119992904. Its totient is φ = 69241236480000.

The previous prime is 132220456250599. The next prime is 132220456250653. The reversal of 132220456250625 is 526052654022231.

It is a happy number.

132220456250625 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 20 + 4 + 562 + 5 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 130941539534961 + 1278916715664 = 11442969^2 + 1130892^2 .

It is not a de Polignac number, because 132220456250625 - 25 = 132220456250593 is a prime.

It is a super-2 number, since 2×1322204562506252 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 197649207 + ... + 198317043.

Almost surely, 2132220456250625 is an apocalyptic number.

132220456250625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132220456250625 is a deficient number, since it is larger than the sum of its proper divisors (110767663742279).

132220456250625 is an equidigital number, since it uses as much as digits as its factorization.

132220456250625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668501 (or 668483 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 132220456250625 in words is "one hundred thirty-two trillion, two hundred twenty billion, four hundred fifty-six million, two hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 125 183 225 305 375 549 577 625 915 1125 1525 1731 1875 2745 2885 4575 5193 5625 7625 8655 13725 14425 22875 25965 35197 38125 43275 68625 72125 105591 114375 129825 175985 216375 316773 343125 360625 527955 649125 667837 879925 1081875 1583865 2003511 2639775 3245625 3339185 4399625 6010533 7919325 10017555 13198875 16695925 21998125 30052665 39596625 40738057 50087775 65994375 83479625 122214171 150263325 197983125 203690285 250438875 366642513 385341949 417398125 611070855 751316625 1018451425 1156025847 1252194375 1833212565 1926709745 3055354275 3468077541 3756583125 5092257125 5780129235 9166062825 9633548725 15276771375 17340387705 23505858889 25461285625 28900646175 45830314125 48167743625 70517576667 76383856875 86701938525 117529294445 144503230875 211552730001 229151570625 240838718125 352587883335 433509692625 587646472225 722516154375 1057763650005 1762939416675 2167548463125 2938232361125 5288818250025 8814697083375 14691161805625 26444091250125 44073485416875 132220456250625