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4754340096 = 283111513727
BaseRepresentation
bin1000110110110000…
…10111100100000000
3110021100010111112020
410123120113210000
534214102340341
62103434001440
7225550136562
oct43330274400
913240114466
104754340096
11201a7790a0
12b08276280
135a9ca87bc
143315d5332
151cc5cd566
hex11b617900

4754340096 has 144 divisors (see below), whose sum is σ = 13898938368. Its totient is φ = 1430784000.

The previous prime is 4754340089. The next prime is 4754340119. The reversal of 4754340096 is 6900434574.

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, 1273785 + ... + 1277511.

Almost surely, 24754340096 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 4754340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949469184).

4754340096 is an abundant number, since it is smaller than the sum of its proper divisors (9144598272).

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

4754340096 is a wasteful number, since it uses less digits than its factorization.

4754340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4754340096 is about 68951.7229371391. The cubic root of 4754340096 is about 1681.4995228460.

The spelling of 4754340096 in words is "four billion, seven hundred fifty-four million, three hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 151 176 192 256 264 302 352 384 453 528 604 704 768 906 1056 1208 1408 1661 1812 2112 2416 2816 3322 3624 3727 4224 4832 4983 6644 7248 7454 8448 9664 9966 11181 13288 14496 14908 19328 19932 22362 26576 28992 29816 38656 39864 40997 44724 53152 57984 59632 79728 81994 89448 106304 115968 119264 122991 159456 163988 178896 212608 238528 245982 318912 327976 357792 425216 477056 491964 562777 637824 655952 715584 954112 983928 1125554 1275648 1311904 1431168 1688331 1967856 2251108 2623808 2862336 3376662 3935712 4502216 5247616 6190547 6753324 7871424 9004432 10495232 12381094 13506648 15742848 18008864 18571641 24762188 27013296 31485696 36017728 37143282 49524376 54026592 72035456 74286564 99048752 108053184 144070912 148573128 198097504 216106368 297146256 396195008 432212736 594292512 792390016 1188585024 1584780032 2377170048 4754340096