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10313009748 = 2234433672017
BaseRepresentation
bin10011001101011010…
…00000101001010100
3222121201202011210000
421212231000221110
5132110112302443
64423203331300
7513365064546
oct114655005124
928551664700
1010313009748
114412474958
121bb9980b30
13c847c1a42
146db961696
154055db8d3
hex266b40a54

10313009748 has 120 divisors (see below), whose sum is σ = 27676111232. Its totient is φ = 3346914816.

The previous prime is 10313009719. The next prime is 10313009771. The reversal of 10313009748 is 84790031301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5112036 + ... + 5114052.

Almost surely, 210313009748 is an apocalyptic number.

10313009748 is a gapful number since it is divisible by the number (18) 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 10313009748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838055616).

10313009748 is an abundant number, since it is smaller than the sum of its proper divisors (17363101484).

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

10313009748 is a wasteful number, since it uses less digits than its factorization.

10313009748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10313009748 in words is "ten billion, three hundred thirteen million, nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 367 387 516 734 774 1101 1161 1468 1548 2017 2202 2322 3303 3483 4034 4404 4644 6051 6606 6966 8068 9909 12102 13212 13932 15781 18153 19818 24204 29727 31562 36306 39636 47343 54459 59454 63124 72612 86731 94686 108918 118908 142029 163377 173462 189372 217836 260193 284058 326754 346924 426087 520386 568116 653508 740239 780579 852174 1040772 1278261 1480478 1561158 1704348 2220717 2341737 2556522 2960956 3122316 4441434 4683474 5113044 6662151 7025211 8882868 9366948 13324302 14050422 19986453 26648604 28100844 31830277 39972906 59959359 63660554 79945812 95490831 119918718 127321108 190981662 239837436 286472493 381963324 572944986 859417479 1145889972 1718834958 2578252437 3437669916 5156504874 10313009748