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3030677137152 = 28337193789101
BaseRepresentation
bin101100000110100010011…
…011110010011100000000
3101201201201002201022101000
4230012202123302130000
5344123311321342102
610240135053012000
7431650001422530
oct54064233623400
911651632638330
103030677137152
11a69337263995
1240b447784000
1318ca3a28ab72
14a69852474c0
1553c7ca2601c
hex2c1a26f2700

3030677137152 has 576 divisors, whose sum is σ = 11073168870400. Its totient is φ = 798153523200.

The previous prime is 3030677137139. The next prime is 3030677137153. The reversal of 3030677137152 is 2517317760303.

3030677137152 is a `hidden beast` number, since 303 + 0 + 67 + 7 + 137 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×30306771371522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3030677137098 and 3030677137107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3030677137153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33969402 + ... + 34058502.

Almost surely, 23030677137152 is an apocalyptic number.

3030677137152 is a gapful number since it is divisible by the number (32) 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 3030677137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536584435200).

3030677137152 is an abundant number, since it is smaller than the sum of its proper divisors (8042491733248).

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

3030677137152 is a wasteful number, since it uses less digits than its factorization.

3030677137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89189 (or 89169 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 3030677137152 in words is "three trillion, thirty billion, six hundred seventy-seven million, one hundred thirty-seven thousand, one hundred fifty-two".