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1002041338572 = 2232101415366359
BaseRepresentation
bin11101001010011100101…
…00010110101011001100
310112210102222120011120100
432211032110112223030
5112404140040313242
62044155331251100
7132252342562311
oct16451624265314
93483388504510
101002041338572
11356a6623786a
12142251749a90
1373652187aa1
14366db5c2d08
151b0eaa9254c
hexe94e516acc

1002041338572 has 72 divisors (see below), whose sum is σ = 2558670922080. Its totient is φ = 330622099200.

The previous prime is 1002041338547. The next prime is 1002041338591. The reversal of 1002041338572 is 2758331402001.

1002041338572 is a `hidden beast` number, since 1 + 0 + 0 + 204 + 1 + 3 + 385 + 72 = 666.

1002041338572 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15067129 + ... + 15133487.

It is an arithmetic number, because the mean of its divisors is an integer number (35537096140).

Almost surely, 21002041338572 is an apocalyptic number.

1002041338572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002041338572 is an abundant number, since it is smaller than the sum of its proper divisors (1556629583508).

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

1002041338572 is a wasteful number, since it uses less digits than its factorization.

1002041338572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70623 (or 70618 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1002041338572 in words is "one trillion, two billion, forty-one million, three hundred thirty-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 4153 8306 12459 16612 24918 37377 49836 66359 74754 132718 149508 199077 265436 398154 419453 597231 796308 838906 1194462 1258359 1677812 2388924 2516718 3775077 5033436 6702259 7550154 13404518 15100308 20106777 26809036 40213554 60320331 80427108 120640662 241281324 275588927 551177854 826766781 1102355708 1653533562 2480300343 3307067124 4960600686 9921201372 27834481627 55668963254 83503444881 111337926508 167006889762 250510334643 334013779524 501020669286 1002041338572