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1988507136 = 293711172343
BaseRepresentation
bin111011010000110…
…0011011000000000
312010120201121222110
41312201203120000
513033024212021
6525152335320
7100164013620
oct16641433000
95116647873
101988507136
11930507930
12475b44540
13258c82155
1414c146880
15b9892476
hex76863600

1988507136 has 640 divisors, whose sum is σ = 7466950656. Its totient is φ = 454164480.

The previous prime is 1988507123. The next prime is 1988507189. The reversal of 1988507136 is 6317058891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46244331 + ... + 46244373.

Almost surely, 21988507136 is an apocalyptic number.

1988507136 is a gapful number since it is divisible by the number (16) 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 1988507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733475328).

1988507136 is an abundant number, since it is smaller than the sum of its proper divisors (5478443520).

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

1988507136 is a wasteful number, since it uses less digits than its factorization.

1988507136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 1988507136 is about 44592.6802962100. The cubic root of 1988507136 is about 1257.5030621498.

The spelling of 1988507136 in words is "one billion, nine hundred eighty-eight million, five hundred seven thousand, one hundred thirty-six".