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4990354656 = 253722333301
BaseRepresentation
bin1001010010111001…
…01100010011100000
3110212210020021122020
410221130230103200
540210012322111
62143104341440
7234444212640
oct45134542340
913783207566
104990354656
112130a1a351
12b73314880
13616b625a1
14354ab0520
151e319d906
hex12972c4e0

4990354656 has 96 divisors (see below), whose sum is σ = 15038650368. Its totient is φ = 1419379200.

The previous prime is 4990354631. The next prime is 4990354661. The reversal of 4990354656 is 6564530994.

4990354656 is a nontrivial binomial coefficient, being equal to C(99904, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 4990354599 and 4990354608.

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, 133206 + ... + 166506.

It is an arithmetic number, because the mean of its divisors is an integer number (156652608).

Almost surely, 24990354656 is an apocalyptic number.

4990354656 is the 99903-rd triangular number and also the 49952-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4990354656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519325184).

4990354656 is an abundant number, since it is smaller than the sum of its proper divisors (10048295712).

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

4990354656 is a wasteful number, since it uses less digits than its factorization.

4990354656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33544 (or 33536 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The square root of 4990354656 is about 70642.4423133855. The cubic root of 4990354656 is about 1708.8756851305.

The spelling of 4990354656 in words is "four billion, nine hundred ninety million, three hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 223 224 336 446 669 672 892 1338 1561 1784 2676 3122 3568 4683 5352 6244 7136 9366 10704 12488 18732 21408 24976 33301 37464 49952 66602 74928 99903 133204 149856 199806 233107 266408 399612 466214 532816 699321 799224 932428 1065632 1398642 1598448 1864856 2797284 3196896 3729712 5594568 7426123 7459424 11189136 14852246 22278369 22378272 29704492 44556738 51982861 59408984 89113476 103965722 118817968 155948583 178226952 207931444 237635936 311897166 356453904 415862888 623794332 712907808 831725776 1247588664 1663451552 2495177328 4990354656