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90345037340 = 22543178758787
BaseRepresentation
bin101010000100011111…
…0111101111000011100
322122012022010102101002
41110020332331320130
52440011312143330
6105300503405432
76345556101215
oct1241076757034
9278168112332
1090345037340
1135351466818
1215614453878
13869a45b69c
144530a7640c
15253b7d4e45
hex1508fbde1c

90345037340 has 48 divisors (see below), whose sum is σ = 194248720512. Its totient is φ = 35277243456.

The previous prime is 90345037327. The next prime is 90345037357. The reversal of 90345037340 is 4373054309.

It is a junction number, because it is equal to n+sod(n) for n = 90345037294 and 90345037303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507427 + ... + 1566213.

It is an arithmetic number, because the mean of its divisors is an integer number (4046848344).

Almost surely, 290345037340 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 90345037340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97124360256).

90345037340 is an abundant number, since it is smaller than the sum of its proper divisors (103903683172).

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

90345037340 is a wasteful number, since it uses less digits than its factorization.

90345037340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60626 (or 60624 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 38.

The spelling of 90345037340 in words is "ninety billion, three hundred forty-five million, thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1787 3574 7148 8935 17870 35740 58787 76841 117574 153682 235148 293935 307364 384205 587870 768410 1175740 1536820 2527841 5055682 10111364 12639205 25278410 50556820 105052369 210104738 420209476 525261845 1050523690 2101047380 4517251867 9034503734 18069007468 22586259335 45172518670 90345037340