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9749480040 = 23325167257631
BaseRepresentation
bin10010001010001110…
…10100001001101000
3221011110100220100100
421011013110021220
5124431331330130
64251233105400
7463413133026
oct110507241150
927143326310
109749480040
114153366723
121a810b8260
13bc4b25201
14686b8d716
153c0dc4c60
hex2451d4268

9749480040 has 192 divisors, whose sum is σ = 32050287360. Its totient is φ = 2570158080.

The previous prime is 9749480029. The next prime is 9749480063. The reversal of 9749480040 is 400849479.

9749480040 is a `hidden beast` number, since 97 + 49 + 480 + 0 + 40 = 666.

It is a super-2 number, since 2×97494800402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15450525 + ... + 15451155.

It is an arithmetic number, because the mean of its divisors is an integer number (166928580).

Almost surely, 29749480040 is an apocalyptic number.

9749480040 is a gapful number since it is divisible by the number (90) 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 9749480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025143680).

9749480040 is an abundant number, since it is smaller than the sum of its proper divisors (22300807320).

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

9749480040 is a wasteful number, since it uses less digits than its factorization.

9749480040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9749480040 is about 98739.4553357471. The cubic root of 9749480040 is about 2136.2913639071.

The spelling of 9749480040 in words is "nine billion, seven hundred forty-nine million, four hundred eighty thousand, forty".