Search a number
-
+
2074672312020 = 2238571119101107
BaseRepresentation
bin11110001100001100000…
…110110010111011010100
321100100002110222100000000
4132030030012302323110
5232442412102441040
64225031415451300
7302614212453450
oct36141406627324
97310073870000
102074672312020
1172a955485050
12296103686b30
13120843996c99
14725b3c27660
1538e788b7130
hex1e30c1b2ed4

2074672312020 has 1728 divisors, whose sum is σ = 8742057891840. Its totient is φ = 400588416000.

The previous prime is 2074672312003. The next prime is 2074672312033. The reversal of 2074672312020 is 202132764702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19389460807 + ... + 19389460913.

It is an arithmetic number, because the mean of its divisors is an integer number (5059061280).

Almost surely, 22074672312020 is an apocalyptic number.

2074672312020 is a gapful number since it is divisible by the number (20) 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 2074672312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371028945920).

2074672312020 is an abundant number, since it is smaller than the sum of its proper divisors (6667385579820).

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

2074672312020 is a wasteful number, since it uses less digits than its factorization.

2074672312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 2074672312020 in words is "two trillion, seventy-four billion, six hundred seventy-two million, three hundred twelve thousand, twenty".