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3914545536 = 27331132337
BaseRepresentation
bin1110100101010011…
…0011100110000000
3101002210220111222000
43221110303212000
531004110424121
61444234144000
7166002042126
oct35124634600
911083814860
103914545536
111729728000
12912b82000
134a5001745
14291c6b916
1517d9e5526
hexe9533980

3914545536 has 512 divisors, whose sum is σ = 13618713600. Its totient is φ = 1103984640.

The previous prime is 3914545529. The next prime is 3914545567. The reversal of 3914545536 is 6355454193.

3914545536 is a `hidden beast` number, since 3 + 91 + 4 + 5 + 4 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3914545491 and 3914545500.

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, 105798510 + ... + 105798546.

It is an arithmetic number, because the mean of its divisors is an integer number (26599050).

Almost surely, 23914545536 is an apocalyptic number.

3914545536 is a gapful number since it is divisible by the number (36) 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 3914545536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809356800).

3914545536 is an abundant number, since it is smaller than the sum of its proper divisors (9704168064).

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

3914545536 is a wasteful number, since it uses less digits than its factorization.

3914545536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 3914545536 is about 62566.3290916128. The cubic root of 3914545536 is about 1576.0153742907.

It can be divided in two parts, 39145 and 45536, that added together give a square (84681 = 2912).

The spelling of 3914545536 in words is "three billion, nine hundred fourteen million, five hundred forty-five thousand, five hundred thirty-six".