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4741879104 = 26337337591
BaseRepresentation
bin1000110101010001…
…10101010101000000
3110020110200102021000
410122220311111000
534202410112404
62102310532000
7225336210264
oct43250652500
913213612230
104741879104
112013737a56
12b04067000
135a7534a31
1432dab00a4
151cb46b339
hex11aa35540

4741879104 has 112 divisors (see below), whose sum is σ = 14131584640. Its totient is φ = 1558932480.

The previous prime is 4741879099. The next prime is 4741879141. The reversal of 4741879104 is 4019781474.

It is a happy number.

4741879104 is a `hidden beast` number, since 474 + 1 + 8 + 79 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4741879104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107349 + ... + 144939.

Almost surely, 24741879104 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 4741879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065792320).

4741879104 is an abundant number, since it is smaller than the sum of its proper divisors (9389705536).

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

4741879104 is a wasteful number, since it uses less digits than its factorization.

4741879104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37685 (or 37669 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4741879104 is about 68861.3033858640. The cubic root of 4741879104 is about 1680.0291831665.

The spelling of 4741879104 in words is "four billion, seven hundred forty-one million, eight hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 288 292 432 438 576 584 657 864 876 1168 1314 1728 1752 1971 2336 2628 3504 3942 4672 5256 7008 7884 10512 14016 15768 21024 31536 37591 42048 63072 75182 112773 126144 150364 225546 300728 338319 451092 601456 676638 902184 1014957 1202912 1353276 1804368 2029914 2405824 2706552 2744143 3608736 4059828 5413104 5488286 7217472 8119656 8232429 10826208 10976572 16239312 16464858 21652416 21953144 24697287 32478624 32929716 43906288 49394574 64957248 65859432 74091861 87812576 98789148 131718864 148183722 175625152 197578296 263437728 296367444 395156592 526875456 592734888 790313184 1185469776 1580626368 2370939552 4741879104