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4740676096 = 291323173179
BaseRepresentation
bin1000110101001000…
…01111101000000000
3110020101102022001011
410122210033220000
534202103113341
62102225050304
7225323040052
oct43244175000
913211368034
104740676096
112012a96132
12b03786994
135a72032b0
1432d8798d2
151cb2ceb81
hex11a90fa00

4740676096 has 160 divisors (see below), whose sum is σ = 10765560960. Its totient is φ = 2069151744.

The previous prime is 4740676079. The next prime is 4740676099. The reversal of 4740676096 is 6906760474.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4740676099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26484135 + ... + 26484313.

It is an arithmetic number, because the mean of its divisors is an integer number (67284756).

Almost surely, 24740676096 is an apocalyptic number.

4740676096 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4740676096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382780480).

4740676096 is an abundant number, since it is smaller than the sum of its proper divisors (6024884864).

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

4740676096 is a wasteful number, since it uses less digits than its factorization.

4740676096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The square root of 4740676096 is about 68852.5678243012. The cubic root of 4740676096 is about 1679.8870974769.

The spelling of 4740676096 in words is "four billion, seven hundred forty million, six hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 173 179 184 208 256 299 346 358 368 416 512 598 692 716 736 832 1196 1384 1432 1472 1664 2249 2327 2392 2768 2864 2944 3328 3979 4117 4498 4654 4784 5536 5728 5888 6656 7958 8234 8996 9308 9568 11072 11456 11776 15916 16468 17992 18616 19136 22144 22912 30967 31832 32936 35984 37232 38272 44288 45824 51727 53521 61934 63664 65872 71968 74464 76544 88576 91648 103454 107042 123868 127328 131744 143936 148928 153088 206908 214084 247736 254656 263488 287872 297856 402571 413816 428168 495472 509312 526976 575744 595712 712241 805142 827632 856336 990944 1018624 1053952 1151488 1191424 1424482 1610284 1655264 1712672 1981888 2037248 2107904 2848964 3220568 3310528 3425344 3963776 5697928 6441136 6621056 6850688 7927552 9259133 11395856 12882272 13242112 13701376 15855104 18518266 22791712 25764544 26484224 27402752 37036532 45583424 51529088 74073064 91166848 103058176 148146128 182333696 206116352 296292256 364667392 592584512 1185169024 2370338048 4740676096