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90380753079 = 31719201146381
BaseRepresentation
bin101010000101100011…
…1001101100010110111
322122021210022222011020
41110023013031202313
52440044433044304
6105304221112223
76346501503561
oct1241307154267
9278253288136
1090380753079
113536a640561
12156243b8673
1386a4985166
1445356d2331
15253e9dc5d9
hex150b1cd8b7

90380753079 has 32 divisors (see below), whose sum is σ = 134381640960. Its totient is φ = 53696908800.

The previous prime is 90380753069. The next prime is 90380753083. The reversal of 90380753079 is 97035708309.

It is a happy number.

It is not a de Polignac number, because 90380753079 - 27 = 90380752951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90380753059) 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 31 ways as a sum of consecutive naturals, for example, 1925469 + ... + 1971849.

It is an arithmetic number, because the mean of its divisors is an integer number (4199426280).

Almost surely, 290380753079 is an apocalyptic number.

90380753079 is a deficient number, since it is larger than the sum of its proper divisors (44000887881).

90380753079 is a wasteful number, since it uses less digits than its factorization.

90380753079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48431.

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 90380753079 in words is "ninety billion, three hundred eighty million, seven hundred fifty-three thousand, seventy-nine".

Divisors: 1 3 17 19 51 57 323 969 2011 6033 34187 38209 46381 102561 114627 139143 649553 788477 881239 1948659 2365431 2643717 14981063 44943189 93272191 279816573 1585627247 1772171629 4756881741 5316514887 30126917693 90380753079