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19977700104000 = 263253277468057
BaseRepresentation
bin1001000101011011010111…
…01101111101011101000000
32121201211221021021102012200
410202231223231331131000
510104303312211312000
6110253343445553200
74131225014025552
oct442555355753500
977654837242180
1019977700104000
116402549989121
1222a798b415800
13b1bb7329c3c2
144d0cd67334d2
152499ec269500
hex122b6bb7d740

19977700104000 has 168 divisors, whose sum is σ = 71463563146248. Its totient is φ = 5327386675200.

The previous prime is 19977700103927. The next prime is 19977700104001. The reversal of 19977700104000 is 40100777991.

It can be written as a sum of positive squares in 4 ways, for example, as 654079797504 + 19323620306496 = 808752^2 + 4395864^2 .

It is a super-2 number, since 2×199777001040002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19977700104001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138662029 + ... + 138806028.

It is an arithmetic number, because the mean of its divisors is an integer number (425378352061).

Almost surely, 219977700104000 is an apocalyptic number.

19977700104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19977700104000 is an abundant number, since it is smaller than the sum of its proper divisors (51485863042248).

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

19977700104000 is a wasteful number, since it uses less digits than its factorization.

19977700104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277468090 (or 277468067 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 19977700104000 in words is "nineteen trillion, nine hundred seventy-seven billion, seven hundred million, one hundred four thousand".