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19625648380 = 225132310930109
BaseRepresentation
bin10010010001110001…
…111010000011111100
31212122202010020100221
4102101301322003330
5310143131222010
613003233431124
71263225154522
oct222161720374
955582106327
1019625648380
118361192118
12397870b4a4
131b09c766c0
14d426ba312
1579ce71dda
hex491c7a0fc

19625648380 has 96 divisors (see below), whose sum is σ = 46740355200. Its totient is φ = 6867514368.

The previous prime is 19625648369. The next prime is 19625648407. The reversal of 19625648380 is 8384652691.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 636766 + ... + 666874.

It is an arithmetic number, because the mean of its divisors is an integer number (486878700).

Almost surely, 219625648380 is an apocalyptic number.

19625648380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19625648380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23370177600).

19625648380 is an abundant number, since it is smaller than the sum of its proper divisors (27114706820).

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

19625648380 is a wasteful number, since it uses less digits than its factorization.

19625648380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30263 (or 30261 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 19625648380 in words is "nineteen billion, six hundred twenty-five million, six hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 109 115 130 218 230 260 299 436 460 545 598 1090 1196 1417 1495 2180 2507 2834 2990 5014 5668 5980 7085 10028 12535 14170 25070 28340 30109 32591 50140 60218 65182 120436 130364 150545 162955 301090 325910 391417 602180 651820 692507 782834 1385014 1565668 1957085 2770028 3281881 3462535 3914170 6563762 6925070 7828340 9002591 13127524 13850140 16409405 18005182 32818810 36010364 42664453 45012955 65637620 75483263 85328906 90025910 150966526 170657812 180051820 213322265 301933052 377416315 426644530 754832630 853289060 981282419 1509665260 1962564838 3925129676 4906412095 9812824190 19625648380