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4958856684 = 22321741229863
BaseRepresentation
bin1001001111001001…
…00010010111101100
3110210120222000112200
410213210202113230
540123431403214
62140021301500
7233612405055
oct44744422754
913716860480
104958856684
112115166471
12b64864890
13610484832
1435083172c
151e052ad09
hex1279225ec

4958856684 has 144 divisors (see below), whose sum is σ = 13671141120. Its totient is φ = 1509396480.

The previous prime is 4958856671. The next prime is 4958856703. The reversal of 4958856684 is 4866588594.

4958856684 is a `hidden beast` number, since 49 + 588 + 5 + 6 + 6 + 8 + 4 = 666.

It is a super-2 number, since 2×49588566842 = 49180519224902951712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5745637 + ... + 5746499.

It is an arithmetic number, because the mean of its divisors is an integer number (94938480).

Almost surely, 24958856684 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 4958856684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835570560).

4958856684 is an abundant number, since it is smaller than the sum of its proper divisors (8712284436).

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

4958856684 is a wasteful number, since it uses less digits than its factorization.

4958856684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1155 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The square root of 4958856684 is about 70419.1499806693. The cubic root of 4958856684 is about 1705.2727506024.

The spelling of 4958856684 in words is "four billion, nine hundred fifty-eight million, eight hundred fifty-six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 229 246 306 369 458 492 612 687 697 738 863 916 1374 1394 1476 1726 2061 2091 2589 2748 2788 3452 3893 4122 4182 5178 6273 7767 7786 8244 8364 9389 10356 11679 12546 14671 15534 15572 18778 23358 25092 28167 29342 31068 35037 35383 37556 44013 46716 56334 58684 70074 70766 84501 88026 106149 112668 132039 140148 141532 159613 169002 176052 197627 212298 264078 318447 319226 338004 395254 424596 478839 528156 592881 601511 636894 638452 790508 957678 1185762 1203022 1273788 1436517 1778643 1804533 1915356 2371524 2406044 2873034 3359659 3557286 3609066 5413599 5746068 6719318 7114572 7218132 8102707 10078977 10827198 13438636 16205414 20157954 21654396 24308121 30236931 32410828 40315908 48616242 60473862 72924363 97232484 120947724 137746019 145848726 275492038 291697452 413238057 550984076 826476114 1239714171 1652952228 2479428342 4958856684