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741899704896 = 26347217092
BaseRepresentation
bin10101100101111001010…
…10110001101001000000
32121220222021011221110000
422302330222301221000
544123402311024041
61324453553240000
7104412652304400
oct12627452615100
92556867157400
10741899704896
11266702051089
12bb950863000
1354c64c7b92c
1427c9dd00800
151447273ebb6
hexacbcab1a40

741899704896 has 315 divisors, whose sum is σ = 2559777802329. Its totient is φ = 211847311872.

The previous prime is 741899704883. The next prime is 741899704919. The reversal of 741899704896 is 698407998147.

The square root of 741899704896 is 861336.

It is a perfect power (a square), and thus also a powerful number.

741899704896 is a `hidden beast` number, since 74 + 1 + 8 + 9 + 9 + 70 + 489 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139475359296 + 602424345600 = 373464^2 + 776160^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 434112490 + ... + 434114198.

Almost surely, 2741899704896 is an apocalyptic number.

741899704896 is the 861336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 741899704896

741899704896 is an abundant number, since it is smaller than the sum of its proper divisors (1817878097433).

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

741899704896 is an frugal number, since it uses more digits than its factorization.

741899704896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 741899704896 in words is "seven hundred forty-one billion, eight hundred ninety-nine million, seven hundred four thousand, eight hundred ninety-six".