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132653523641344 = 2101921132313409
BaseRepresentation
bin11110001010010111001110…
…001001111010010000000000
3122101200112221010212220001221
4132022113032021322100000
5114341343404023010334
61150044104254404424
736640620656413246
oct3612271611722000
9571615833786057
10132653523641344
11392a4052909542
1212a65184800714
13590323453ca44
1424a86715b6796
1510509512b58b4
hex78a5ce27a400

132653523641344 has 88 divisors (see below), whose sum is σ = 280457133144800. Its totient is φ = 62538077306880.

The previous prime is 132653523641339. The next prime is 132653523641369. The reversal of 132653523641344 is 443146325356231.

It is a super-2 number, since 2×1326535236413442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132653523641291 and 132653523641300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12051489 + ... + 20261920.

Almost surely, 2132653523641344 is an apocalyptic number.

It is an amenable number.

132653523641344 is an abundant number, since it is smaller than the sum of its proper divisors (147803609503456).

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

132653523641344 is a wasteful number, since it uses less digits than its factorization.

132653523641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32313659 (or 32313641 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

Adding to 132653523641344 its reverse (443146325356231), we get a palindrome (575799848997575).

The spelling of 132653523641344 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred twenty-three million, six hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 211 256 304 422 512 608 844 1024 1216 1688 2432 3376 4009 4864 6752 8018 9728 13504 16036 19456 27008 32072 54016 64144 108032 128288 216064 256576 513152 1026304 2052608 4105216 32313409 64626818 129253636 258507272 517014544 613954771 1034029088 1227909542 2068058176 2455819084 4136116352 4911638168 6818129299 8272232704 9823276336 13636258598 16544465408 19646552672 27272517196 33088930816 39293105344 54545034392 78586210688 109090068784 129544456681 157172421376 218180137568 259088913362 314344842752 436360275136 518177826724 628689685504 872720550272 1036355653448 1745441100544 2072711306896 3490882201088 4145422613792 6981764402176 8290845227584 16581690455168 33163380910336 66326761820672 132653523641344