Search a number
-
+
1921874972160 = 293511131749959
BaseRepresentation
bin11011111101111000101…
…011001100111000000000
320210201200202211020020110
4123331320223030320000
5222441444443102120
64030521442311320
7255564565503423
oct33757053147000
96721622736213
101921874972160
11681076356080
12270580058540
1310c302a0c350
146903ab459ba
1534ed44262e0
hex1bf78acce00

1921874972160 has 320 divisors, whose sum is σ = 7218123010560. Its totient is φ = 430069678080.

The previous prime is 1921874972117. The next prime is 1921874972183. The reversal of 1921874972160 is 612794781291.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 1921874972160.

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, 223261 + ... + 1973219.

It is an arithmetic number, because the mean of its divisors is an integer number (22556634408).

Almost surely, 21921874972160 is an apocalyptic number.

1921874972160 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 1921874972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609061505280).

1921874972160 is an abundant number, since it is smaller than the sum of its proper divisors (5296248038400).

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

1921874972160 is a wasteful number, since it uses less digits than its factorization.

1921874972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750009 (or 1749993 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 1921874972160 in words is "one trillion, nine hundred twenty-one billion, eight hundred seventy-four million, nine hundred seventy-two thousand, one hundred sixty".