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155783649920 = 275243411953
BaseRepresentation
bin1001000100010101101…
…1011101101010000000
3112220002211102101000212
42101011123131222000
510023021103244140
6155322132133252
714153315114243
oct2210533355200
9486084371025
10155783649920
1160081899a18
1226237767228
13118c8887c12
14777b96325a
1540bb72d765
hex24456dda80

155783649920 has 32 divisors (see below), whose sum is σ = 372420289620. Its totient is φ = 62313459712.

The previous prime is 155783649883. The next prime is 155783649943. The reversal of 155783649920 is 29946387551.

It is a happy number.

155783649920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 155065838656 + 717811264 = 393784^2 + 26792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 155783649920.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121705337 + ... + 121706616.

It is a 2-persistent number, because it is pandigital, and so is 2⋅155783649920 = 311567299840, but 3⋅155783649920 = 467350949760 is not.

Almost surely, 2155783649920 is an apocalyptic number.

155783649920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155783649920 is an abundant number, since it is smaller than the sum of its proper divisors (216636639700).

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

155783649920 is an equidigital number, since it uses as much as digits as its factorization.

155783649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243411972 (or 243411960 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 59.

The spelling of 155783649920 in words is "one hundred fifty-five billion, seven hundred eighty-three million, six hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 243411953 486823906 973647812 1217059765 1947295624 2434119530 3894591248 4868239060 7789182496 9736478120 15578364992 19472956240 31156729984 38945912480 77891824960 155783649920