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90503504336 = 2477311239857
BaseRepresentation
bin101010001001001101…
…1011110000111010000
322122121100022101020002
41110102123132013100
52440322344114321
6105324324105132
76352522044140
oct1242233360720
9278540271202
1090503504336
1135422961383
12156595351a8
1386c423343b
144547b26920
15254a68820b
hex15126de1d0

90503504336 has 80 divisors (see below), whose sum is σ = 203347353984. Its totient is φ = 38217940992.

The previous prime is 90503504293. The next prime is 90503504339. The reversal of 90503504336 is 63340530509.

It is a self number, because there is not a number n which added to its sum of digits gives 90503504336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90503504339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9176720 + ... + 9186576.

Almost surely, 290503504336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90503504336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101673676992).

90503504336 is an abundant number, since it is smaller than the sum of its proper divisors (112843849648).

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

90503504336 is a wasteful number, since it uses less digits than its factorization.

90503504336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11068 (or 11062 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 38.

The spelling of 90503504336 in words is "ninety billion, five hundred three million, five hundred four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1123 1168 2044 2246 4088 4492 7861 8176 8984 9857 15722 17968 19714 31444 39428 62888 68999 78856 81979 125776 137998 157712 163958 275996 327916 551992 573853 655832 719561 1103984 1147706 1311664 1439122 2295412 2878244 4590824 5036927 5756488 9181648 10073854 11069411 11512976 20147708 22138822 40295416 44277644 77485877 80590832 88555288 154971754 177110576 309943508 619887016 808067003 1239774032 1616134006 3232268012 5656469021 6464536024 11312938042 12929072048 22625876084 45251752168 90503504336