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4975629696 = 273210394157
BaseRepresentation
bin1001010001001001…
…00001010110000000
3110211202112011210100
410220210201112000
540142230122241
62141421002400
7234205104012
oct45044412600
913752464710
104975629696
112123682264
12b6a3b3400
13613aa81ab
14352b5a1b2
151e1c409b6
hex128921580

4975629696 has 96 divisors (see below), whose sum is σ = 14335120800. Its totient is φ = 1656548352.

The previous prime is 4975629689. The next prime is 4975629707. The reversal of 4975629696 is 6969265794.

4975629696 is a `hidden beast` number, since 4 + 9 + 7 + 562 + 9 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 1194850 + ... + 1199006.

It is an arithmetic number, because the mean of its divisors is an integer number (149324175).

Almost surely, 24975629696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4975629696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167560400).

4975629696 is an abundant number, since it is smaller than the sum of its proper divisors (9359491104).

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

4975629696 is a wasteful number, since it uses less digits than its factorization.

4975629696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5201 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The square root of 4975629696 is about 70538.1435536831. The cubic root of 4975629696 is about 1707.1932451722.

The spelling of 4975629696 in words is "four billion, nine hundred seventy-five million, six hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1039 1152 2078 3117 4156 4157 6234 8312 8314 9351 12468 12471 16624 16628 18702 24936 24942 33248 33256 37404 37413 49872 49884 66496 66512 74808 74826 99744 99768 132992 133024 149616 149652 199488 199536 266048 299232 299304 398976 399072 532096 598464 598608 798144 1196928 1197216 1596288 2394432 4319123 4788864 8638246 12957369 17276492 25914738 34552984 38872107 51829476 69105968 77744214 103658952 138211936 155488428 207317904 276423872 310976856 414635808 552847744 621953712 829271616 1243907424 1658543232 2487814848 4975629696