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4687322496 = 273195910889
BaseRepresentation
bin1000101110110001…
…01101110110000000
3110002200000122122220
410113120231312000
534044423304441
62053041331040
7224104404153
oct42730556600
913080018586
104687322496
111a9596484a
12aa9936a80
1359914260c
1432674bc9a
151c6791466
hex11762dd80

4687322496 has 128 divisors (see below), whose sum is σ = 13329360000. Its totient is φ = 1454985216.

The previous prime is 4687322483. The next prime is 4687322527. The reversal of 4687322496 is 6942237864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425020 + ... + 435908.

It is an arithmetic number, because the mean of its divisors is an integer number (104135625).

Almost surely, 24687322496 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 4687322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664680000).

4687322496 is an abundant number, since it is smaller than the sum of its proper divisors (8642037504).

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

4687322496 is a wasteful number, since it uses less digits than its factorization.

4687322496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10984 (or 10972 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 4687322496 is about 68464.0233699423. The cubic root of 4687322496 is about 1673.5612501341.

The spelling of 4687322496 in words is "four billion, six hundred eighty-seven million, three hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 64 76 96 114 118 128 152 177 192 228 236 304 354 384 456 472 608 708 912 944 1121 1216 1416 1824 1888 2242 2432 2832 3363 3648 3776 4484 5664 6726 7296 7552 8968 10889 11328 13452 17936 21778 22656 26904 32667 35872 43556 53808 65334 71744 87112 107616 130668 143488 174224 206891 215232 261336 348448 413782 430464 522672 620673 642451 696896 827564 1045344 1241346 1284902 1393792 1655128 1927353 2090688 2482692 2569804 3310256 3854706 4181376 4965384 5139608 6620512 7709412 9930768 10279216 12206569 13241024 15418824 19861536 20558432 24413138 26482048 30837648 36619707 39723072 41116864 48826276 61675296 73239414 79446144 82233728 97652552 123350592 146478828 195305104 246701184 292957656 390610208 585915312 781220416 1171830624 1562440832 2343661248 4687322496