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4769901024 = 253712495683
BaseRepresentation
bin1000111000100111…
…01110100111100000
3110022102102002002220
410130103232213200
534232043313044
62105151311040
7226126326660
oct43423564740
913272362086
104769901024
112028537269
12b1151b480
135b0296555
143336c61a0
151cdb54019
hex11c4ee9e0

4769901024 has 96 divisors (see below), whose sum is σ = 14323680000. Its totient is φ = 1361498112.

The previous prime is 4769901011. The next prime is 4769901061. The reversal of 4769901024 is 4201099674.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836487 + ... + 842169.

It is an arithmetic number, because the mean of its divisors is an integer number (149205000).

Almost surely, 24769901024 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 4769901024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7161840000).

4769901024 is an abundant number, since it is smaller than the sum of its proper divisors (9553778976).

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

4769901024 is a wasteful number, since it uses less digits than its factorization.

4769901024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 4769901024 is about 69064.4700551593. The cubic root of 4769901024 is about 1683.3320378079.

The spelling of 4769901024 in words is "four billion, seven hundred sixty-nine million, nine hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1249 2498 3747 4996 5683 7494 8743 9992 11366 14988 17049 17486 19984 22732 26229 29976 34098 34972 39781 39968 45464 52458 59952 68196 69944 79562 90928 104916 119343 119904 136392 139888 159124 181856 209832 238686 272784 279776 318248 419664 477372 545568 636496 839328 954744 1272992 1909488 3818976 7098067 14196134 21294201 28392268 42588402 49686469 56784536 85176804 99372938 113569072 149059407 170353608 198745876 227138144 298118814 340707216 397491752 596237628 681414432 794983504 1192475256 1589967008 2384950512 4769901024