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90242918752 = 257764352711
BaseRepresentation
bin101010000001011100…
…1011010100101100000
322121221011222021000011
41110002321122211200
52434304141400002
6105242414534304
76343206103330
oct1240271324540
9277834867004
1090242918752
11352a9858598
12155a6207394
13868225579c
1445212930c0
1525328628d7
hex1502e5a960

90242918752 has 48 divisors (see below), whose sum is σ = 203076986112. Its totient is φ = 38669742720.

The previous prime is 90242918741. The next prime is 90242918761. The reversal of 90242918752 is 25781924209.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90242918696 and 90242918705.

It is a congruent number.

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, 1685677 + ... + 1738387.

It is an arithmetic number, because the mean of its divisors is an integer number (4230770544).

Almost surely, 290242918752 is an apocalyptic number.

It is an amenable number.

90242918752 is an abundant number, since it is smaller than the sum of its proper divisors (112834067360).

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

90242918752 is a wasteful number, since it uses less digits than its factorization.

90242918752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60371 (or 60363 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 90242918752 in words is "ninety billion, two hundred forty-two million, nine hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 7643 15286 30572 52711 53501 61144 105422 107002 122288 210844 214004 244576 368977 421688 428008 737954 843376 856016 1475908 1686752 1712032 2951816 5903632 11807264 402870173 805740346 1611480692 2820091211 3222961384 5640182422 6445922768 11280364844 12891845536 22560729688 45121459376 90242918752