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4731693648 = 2431149917959
BaseRepresentation
bin1000110100000011…
…11110101001010000
3110012202111221102220
410122001332221100
534142303144043
62101304341040
7225153506133
oct43201765120
913182457386
104731693648
112008a10520
12b00774780
135a53a9936
1432c5bc21a
151ca608483
hex11a07ea50

4731693648 has 80 divisors (see below), whose sum is σ = 13362240000. Its totient is φ = 1430893440.

The previous prime is 4731693643. The next prime is 4731693661. The reversal of 4731693648 is 8463961374.

It is a self number, because there is not a number n which added to its sum of digits gives 4731693648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4731693643) 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, 254493 + ... + 272451.

It is an arithmetic number, because the mean of its divisors is an integer number (167028000).

Almost surely, 24731693648 is an apocalyptic number.

4731693648 is a gapful number since it is divisible by the number (48) 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 4731693648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681120000).

4731693648 is an abundant number, since it is smaller than the sum of its proper divisors (8630546352).

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

4731693648 is a wasteful number, since it uses less digits than its factorization.

4731693648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18480 (or 18474 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 4731693648 is about 68787.3073175568. The cubic root of 4731693648 is about 1678.8254318292.

The spelling of 4731693648 in words is "four billion, seven hundred thirty-one million, six hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 499 528 998 1497 1996 2994 3992 5489 5988 7984 10978 11976 16467 17959 21956 23952 32934 35918 43912 53877 65868 71836 87824 107754 131736 143672 197549 215508 263472 287344 395098 431016 592647 790196 862032 1185294 1580392 2370588 3160784 4741176 8961541 9482352 17923082 26884623 35846164 53769246 71692328 98576951 107538492 143384656 197153902 215076984 295730853 394307804 430153968 591461706 788615608 1182923412 1577231216 2365846824 4731693648