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4974045984 = 253243401651
BaseRepresentation
bin1001010000111100…
…11110101100100000
3110211122112201100100
410220132132230200
540141323432414
62141323022400
7234155456535
oct45036365440
913748481310
104974045984
1121227a0406
12b6996aa00
1361367239b
14352866d8c
151e1a2b609
hex12879eb20

4974045984 has 72 divisors (see below), whose sum is σ = 14473931472. Its totient is φ = 1619452800.

The previous prime is 4974045971. The next prime is 4974046001. The reversal of 4974045984 is 4895404794.

4974045984 is a `hidden beast` number, since 4 + 9 + 7 + 40 + 4 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×49740459842 = 49482266901893056512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4974045984.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188442 + ... + 213209.

It is an arithmetic number, because the mean of its divisors is an integer number (201026826).

Almost surely, 24974045984 is an apocalyptic number.

It is an amenable number.

4974045984 is an abundant number, since it is smaller than the sum of its proper divisors (9499885488).

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

4974045984 is a wasteful number, since it uses less digits than its factorization.

4974045984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401710 (or 401699 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 4974045984 is about 70526.9167339676. The cubic root of 4974045984 is about 1707.0120962858.

The spelling of 4974045984 in words is "four billion, nine hundred seventy-four million, forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 401651 803302 1204953 1606604 2409906 3213208 3614859 4819812 6426416 7229718 9639624 12852832 14459436 17270993 19279248 28918872 34541986 38558496 51812979 57837744 69083972 103625958 115675488 138167944 155438937 207251916 276335888 310877874 414503832 552671776 621755748 829007664 1243511496 1658015328 2487022992 4974045984