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90437235126 = 23737253922921
BaseRepresentation
bin101010000111001111…
…0101011000110110110
322122102201121112221220
41110032132223012312
52440203413011001
6105313555451210
76351055546350
oct1241636530666
9278381545856
1090437235126
1135399509337
121563b2b6b06
1386b359caa4
14453cdd60d0
152544947c36
hex150e7ab1b6

90437235126 has 64 divisors (see below), whose sum is σ = 212393418240. Its totient is φ = 25129854720.

The previous prime is 90437235107. The next prime is 90437235157. The reversal of 90437235126 is 62153273409.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3934146 + ... + 3957066.

It is an arithmetic number, because the mean of its divisors is an integer number (3318647160).

Almost surely, 290437235126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90437235126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106196709120).

90437235126 is an abundant number, since it is smaller than the sum of its proper divisors (121956183114).

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

90437235126 is a wasteful number, since it uses less digits than its factorization.

90437235126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25509.

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 90437235126 in words is "ninety billion, four hundred thirty-seven million, two hundred thirty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1554 2539 5078 7617 15234 17773 22921 35546 45842 53319 68763 93943 106638 137526 160447 187886 281829 320894 481341 563658 657601 848077 962682 1315202 1696154 1972803 2544231 3945606 5088462 5936539 11873078 17809617 35619234 58196419 116392838 174589257 349178514 407374933 814749866 1222124799 2153267503 2444249598 4306535006 6459802509 12919605018 15072872521 30145745042 45218617563 90437235126