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4968072816 = 243759733433
BaseRepresentation
bin1001010000001111…
…01100011001110000
3110211020022020200220
410220013230121300
540133311312231
62140551013040
7234053631210
oct45007543160
913736266626
104968072816
11211a390703
12b6796a180
13612360675
14351b50240
151e124b896
hex1281ec670

4968072816 has 160 divisors (see below), whose sum is σ = 15124984320. Its totient is φ = 1375875072.

The previous prime is 4968072797. The next prime is 4968072821. The reversal of 4968072816 is 6182708694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445436 + ... + 1448868.

It is an arithmetic number, because the mean of its divisors is an integer number (94531152).

Almost surely, 24968072816 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 4968072816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562492160).

4968072816 is an abundant number, since it is smaller than the sum of its proper divisors (10156911504).

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

4968072816 is a wasteful number, since it uses less digits than its factorization.

4968072816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 4968072816 is about 70484.5572873945. The cubic root of 4968072816 is about 1706.3285243846.

The spelling of 4968072816 in words is "four billion, nine hundred sixty-eight million, seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 73 84 112 118 146 168 177 219 236 292 336 354 413 438 472 511 584 708 826 876 944 1022 1168 1239 1416 1533 1652 1752 2044 2478 2832 3066 3304 3433 3504 4088 4307 4956 6132 6608 6866 8176 8614 9912 10299 12264 12921 13732 17228 19824 20598 24031 24528 25842 27464 30149 34456 41196 48062 51684 54928 60298 68912 72093 82392 90447 96124 103368 120596 144186 164784 180894 192248 202547 206736 241192 250609 288372 361788 384496 405094 482384 501218 576744 607641 723576 751827 810188 1002436 1153488 1215282 1417829 1447152 1503654 1620376 1754263 2004872 2430564 2835658 3007308 3240752 3508526 4009744 4253487 4861128 5262789 5671316 6014616 7017052 8506974 9722256 10525578 11342632 12029232 14034104 14785931 17013948 21051156 22685264 28068208 29571862 34027896 42102312 44357793 59143724 68055792 84204624 88715586 103501517 118287448 177431172 207003034 236574896 310504551 354862344 414006068 621009102 709724688 828012136 1242018204 1656024272 2484036408 4968072816