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1918916062272 = 2632112234711731
BaseRepresentation
bin11011111011001000010…
…011110110110001000000
320210110001120010000221100
4123323020103312301000
5222414420002443042
64025312102454400
7255431346256116
oct33731023666100
96713046100840
101918916062272
1167a898100300
1226ba95134400
1310bc509b38b1
1468c39b97ab6
1534dae79c24c
hex1bec84f6c40

1918916062272 has 252 divisors, whose sum is σ = 6048794931088. Its totient is φ = 581192409600.

The previous prime is 1918916062229. The next prime is 1918916062307. The reversal of 1918916062272 is 2722606198191.

It is a happy number.

1918916062272 is a `hidden beast` number, since 1 + 9 + 1 + 8 + 9 + 1 + 6 + 0 + 622 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 163570647 + ... + 163582377.

Almost surely, 21918916062272 is an apocalyptic number.

1918916062272 is a gapful number since it is divisible by the number (12) 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 1918916062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024397465544).

1918916062272 is an abundant number, since it is smaller than the sum of its proper divisors (4129878868816).

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

1918916062272 is a wasteful number, since it uses less digits than its factorization.

1918916062272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14118 (or 14094 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1918916062272 in words is "one trillion, nine hundred eighteen billion, nine hundred sixteen million, sixty-two thousand, two hundred seventy-two".