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326440136560 = 245101287914033
BaseRepresentation
bin1001100000000010101…
…10010010111101110000
31011012121011201010112011
410300001112102331300
520322022133332220
6405544201012304
732404330243516
oct4600126227560
91135534633464
10326440136560
11116495a4622a
1253324184094
1324a24827625
1411b2a8884b6
158758a0365a
hex4c01592f70

326440136560 has 80 divisors (see below), whose sum is σ = 766808778240. Its totient is φ = 129229107200.

The previous prime is 326440136513. The next prime is 326440136573. The reversal of 326440136560 is 65631044623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3264401365602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 23255304 + ... + 23269336.

It is an arithmetic number, because the mean of its divisors is an integer number (9585109728).

Almost surely, 2326440136560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326440136560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383404389120).

326440136560 is an abundant number, since it is smaller than the sum of its proper divisors (440368641680).

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

326440136560 is a wasteful number, since it uses less digits than its factorization.

326440136560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17026 (or 17020 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 326440136560 in words is "three hundred twenty-six billion, four hundred forty million, one hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 2879 4040 5758 8080 11516 14033 14395 23032 28066 28790 46064 56132 57580 70165 112264 115160 140330 224528 230320 280660 290779 561320 581558 1122640 1163116 1417333 1453895 2326232 2834666 2907790 4652464 5669332 5815580 7086665 11338664 11631160 14173330 22677328 23262320 28346660 40401007 56693320 80802014 113386640 161604028 202005035 323208056 404010070 646416112 808020140 1616040280 3232080560 4080501707 8161003414 16322006828 20402508535 32644013656 40805017070 65288027312 81610034140 163220068280 326440136560