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90744105948 = 22337388952553
BaseRepresentation
bin101010010000011000…
…1010010101111011100
322200020010001012120220
41110200301102233130
52441320442342243
6105404241041340
76361503113436
oct1244061225734
9280203035526
1090744105948
1135536755991
1215706026250
138732035062
14456ba77656
152561862783
hex1520c52bdc

90744105948 has 48 divisors (see below), whose sum is σ = 217518903840. Its totient is φ = 29422393344.

The previous prime is 90744105943. The next prime is 90744105961. The reversal of 90744105948 is 84950144709.

It is a self number, because there is not a number n which added to its sum of digits gives 90744105948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90744105943) 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, 1700440 + ... + 1752992.

It is an arithmetic number, because the mean of its divisors is an integer number (4531643830).

Almost surely, 290744105948 is an apocalyptic number.

It is an amenable number.

90744105948 is an abundant number, since it is smaller than the sum of its proper divisors (126774797892).

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

90744105948 is a wasteful number, since it uses less digits than its factorization.

90744105948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56486 (or 56484 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 90744105948 in words is "ninety billion, seven hundred forty-four million, one hundred five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 3889 7778 11667 15556 23334 46668 52553 105106 143893 157659 210212 287786 315318 431679 575572 630636 863358 1726716 1944461 3888922 5833383 7777844 11666766 23333532 204378617 408757234 613135851 817514468 1226271702 2452543404 7562008829 15124017658 22686026487 30248035316 45372052974 90744105948