Search a number
-
+
1621829491920 = 243551126189127
BaseRepresentation
bin10111100110011100100…
…100100001110011010000
312202001020002022120100000
4113212130210201303100
5203033001322220140
63241020322330000
7225113306136441
oct27463444416320
95661202276300
101621829491920
115758a5515900
122223a34b9900
13b9c26648671
14586d59652c8
152c2c2c81a30
hex1799c921cd0

1621829491920 has 1440 divisors, whose sum is σ = 6431468359680. Its totient is φ = 379369267200.

The previous prime is 1621829491853. The next prime is 1621829491921. The reversal of 1621829491920 is 291949281261.

1621829491920 is a `hidden beast` number, since 1 + 62 + 1 + 8 + 2 + 9 + 491 + 92 + 0 = 666.

It is a super-2 number, since 2×16218294919202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1621829491921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12770310897 + ... + 12770311023.

It is an arithmetic number, because the mean of its divisors is an integer number (4466297472).

Almost surely, 21621829491920 is an apocalyptic number.

1621829491920 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 1621829491920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215734179840).

1621829491920 is an abundant number, since it is smaller than the sum of its proper divisors (4809638867760).

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

1621829491920 is a wasteful number, since it uses less digits than its factorization.

1621829491920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1621829491920 in words is "one trillion, six hundred twenty-one billion, eight hundred twenty-nine million, four hundred ninety-one thousand, nine hundred twenty".