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57351217001004 = 22321994189103941
BaseRepresentation
bin11010000101001000111101…
…11010101011001000101100
321112001201111220212111102100
431002210132322223020230
530004120243023013004
6321550441350055100
715036326423063433
oct1502443672531054
9245051456774370
1057351217001004
1117301572943633
12652307264a490
132600272ab4754
141023b56b8a11a
15696c8415a739
hex34291eeab22c

57351217001004 has 72 divisors (see below), whose sum is σ = 152763362322480. Its totient is φ = 18091663977600.

The previous prime is 57351217000997. The next prime is 57351217001009. The reversal of 57351217001004 is 40010071215375.

57351217001004 is a `hidden beast` number, since 5 + 73 + 512 + 1 + 70 + 0 + 1 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57351217001004.

It is not an unprimeable number, because it can be changed into a prime (57351217001009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43908327 + ... + 45195614.

It is an arithmetic number, because the mean of its divisors is an integer number (2121713365590).

Almost surely, 257351217001004 is an apocalyptic number.

It is an amenable number.

57351217001004 is an abundant number, since it is smaller than the sum of its proper divisors (95412145321476).

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

57351217001004 is a wasteful number, since it uses less digits than its factorization.

57351217001004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89104911 (or 89104906 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 57351217001004 its reverse (40010071215375), we get a palindrome (97361288216379).

The spelling of 57351217001004 in words is "fifty-seven trillion, three hundred fifty-one billion, two hundred seventeen million, one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 941 1882 2823 3764 5646 8469 11292 16938 17879 33876 35758 53637 71516 107274 160911 214548 321822 643644 89103941 178207882 267311823 356415764 534623646 801935469 1069247292 1603870938 1692974879 3207741876 3385949758 5078924637 6771899516 10157849274 15236773911 20315698548 30473547822 60947095644 83846808481 167693616962 251540425443 335387233924 503080850886 754621276329 1006161701772 1509242552658 1593089361139 3018485105316 3186178722278 4779268083417 6372357444556 9558536166834 14337804250251 19117072333668 28675608500502 57351217001004