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90219708720 = 24325125305151
BaseRepresentation
bin101010000000110000…
…0111000000100110000
322121212120022001211100
41110001200320010300
52434232221134340
6105240225244400
76342504604521
oct1240140700460
9277776261740
1090219708720
1135297745549
121559a493700
13867a4ba23b
14451c170848
1525307ca830
hex1501838130

90219708720 has 60 divisors (see below), whose sum is σ = 302987857536. Its totient is φ = 24058588800.

The previous prime is 90219708581. The next prime is 90219708757. The reversal of 90219708720 is 2780791209.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62651856 + ... + 62653295.

Almost surely, 290219708720 is an apocalyptic number.

90219708720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90219708720 is an abundant number, since it is smaller than the sum of its proper divisors (212768148816).

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

90219708720 is a wasteful number, since it uses less digits than its factorization.

90219708720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125305170 (or 125305161 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 90219708720 in words is "ninety billion, two hundred nineteen million, seven hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 125305151 250610302 375915453 501220604 626525755 751830906 1002441208 1127746359 1253051510 1503661812 1879577265 2004882416 2255492718 2506103020 3007323624 3759154530 4510985436 5012206040 5638731795 6014647248 7518309060 9021970872 10024412080 11277463590 15036618120 18043941744 22554927180 30073236240 45109854360 90219708720