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172342764540 = 223253701258703
BaseRepresentation
bin1010000010000001101…
…1011110001111111100
3121110211212022112220100
42200200123132033330
510310424221431130
6211101223321100
715310546220322
oct2404033361774
9543755275810
10172342764540
11670a9aa7911
12294992b0190
13133374231ab
1484acc77d12
15473a367c60
hex28206de3fc

172342764540 has 72 divisors (see below), whose sum is σ = 522916325568. Its totient is φ = 45945475200.

The previous prime is 172342764533. The next prime is 172342764541. The reversal of 172342764540 is 45467243271.

172342764540 is a `hidden beast` number, since 1 + 7 + 2 + 3 + 42 + 7 + 64 + 540 = 666.

172342764540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172342764541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536829 + ... + 795531.

It is an arithmetic number, because the mean of its divisors is an integer number (7262726744).

Almost surely, 2172342764540 is an apocalyptic number.

172342764540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172342764540 is an abundant number, since it is smaller than the sum of its proper divisors (350573561028).

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

172342764540 is a wasteful number, since it uses less digits than its factorization.

172342764540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262419 (or 262414 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 172342764540 in words is "one hundred seventy-two billion, three hundred forty-two million, seven hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3701 7402 11103 14804 18505 22206 33309 37010 44412 55515 66618 74020 111030 133236 166545 222060 258703 333090 517406 666180 776109 1034812 1293515 1552218 2328327 2587030 3104436 3880545 4656654 5174060 7761090 9313308 11641635 15522180 23283270 46566540 957459803 1914919606 2872379409 3829839212 4787299015 5744758818 8617138227 9574598030 11489517636 14361897045 17234276454 19149196060 28723794090 34468552908 43085691135 57447588180 86171382270 172342764540