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45990492593472 = 2633723316318129
BaseRepresentation
bin10100111010011111111101…
…11110010101110101000000
320000211122111111121021022000
422131033332332111311000
522012002012100442342
6241451423550344000
712454463164661430
oct1235177676256500
9200748444537260
1045990492593472
1113721505110259
1251a9322abb000
131c87b66ccac0b
14b4dd477302c0
1554b4b919a44c
hex29d3fef95d40

45990492593472 has 224 divisors, whose sum is σ = 155181499948800. Its totient is φ = 13083744485376.

The previous prime is 45990492593471. The next prime is 45990492593489. The reversal of 45990492593472 is 27439529409954.

45990492593472 is a `hidden beast` number, since 4 + 5 + 9 + 9 + 0 + 49 + 25 + 93 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 45990492593472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45990492593471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5340697 + ... + 10977432.

Almost surely, 245990492593472 is an apocalyptic number.

45990492593472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45990492593472 is an abundant number, since it is smaller than the sum of its proper divisors (109191007355328).

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

45990492593472 is a wasteful number, since it uses less digits than its factorization.

45990492593472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16318390 (or 16318374 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 45990492593472 in words is "forty-five trillion, nine hundred ninety billion, four hundred ninety-two million, five hundred ninety-three thousand, four hundred seventy-two".