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90783009632 = 25729109128213
BaseRepresentation
bin101010010001100010…
…1101100101101100000
322200022211020201102002
41110203011230231200
52441410422302012
6105412150543132
76362454564320
oct1244305545540
9280284221362
1090783009632
1135556707897
1215717067aa8
13873a1068a3
144572cc3280
152564e997c2
hex152316cb60

90783009632 has 96 divisors (see below), whose sum is σ = 213245524800. Its totient is φ = 37220456448.

The previous prime is 90783009593. The next prime is 90783009637. The reversal of 90783009632 is 23690038709.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90783009637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643958 + ... + 772170.

It is an arithmetic number, because the mean of its divisors is an integer number (2221307550).

Almost surely, 290783009632 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 90783009632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106622762400).

90783009632 is an abundant number, since it is smaller than the sum of its proper divisors (122462515168).

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

90783009632 is a wasteful number, since it uses less digits than its factorization.

90783009632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128368 (or 128360 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The spelling of 90783009632 in words is "ninety billion, seven hundred eighty-three million, nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 109 112 116 203 218 224 232 406 436 464 763 812 872 928 1526 1624 1744 3052 3161 3248 3488 6104 6322 6496 12208 12644 22127 24416 25288 44254 50576 88508 101152 128213 177016 256426 354032 512852 708064 897491 1025704 1794982 2051408 3589964 3718177 4102816 7179928 7436354 13975217 14359856 14872708 26027239 27950434 28719712 29745416 52054478 55900868 59490832 97826519 104108956 111801736 118981664 195653038 208217912 223603472 391306076 405281293 416435824 447206944 782612152 810562586 832871648 1565224304 1621125172 2836969051 3130448608 3242250344 5673938102 6484500688 11347876204 12969001376 22695752408 45391504816 90783009632