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10313650480 = 2457293132029
BaseRepresentation
bin10011001101011110…
…11101000100110000
3222121202221201200211
421212233131010300
5132110243303410
64423225153504
7513403403560
oct114657350460
928552851624
1010313650480
114412872291
121bba02b894
13c84987583
146dba8ada0
154056b668a
hex266bdd130

10313650480 has 160 divisors (see below), whose sum is σ = 28454428800. Its totient is φ = 3401588736.

The previous prime is 10313650469. The next prime is 10313650481. The reversal of 10313650480 is 8405631301.

10313650480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10313650481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5082106 + ... + 5084134.

It is an arithmetic number, because the mean of its divisors is an integer number (177840180).

Almost surely, 210313650480 is an apocalyptic number.

10313650480 is a gapful number since it is divisible by the number (10) 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 10313650480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14227214400).

10313650480 is an abundant number, since it is smaller than the sum of its proper divisors (18140778320).

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

10313650480 is a wasteful number, since it uses less digits than its factorization.

10313650480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 10313650480 in words is "ten billion, three hundred thirteen million, six hundred fifty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 313 406 464 560 580 626 812 1015 1160 1252 1565 1624 2029 2030 2191 2320 2504 3130 3248 4058 4060 4382 5008 6260 8116 8120 8764 9077 10145 10955 12520 14203 16232 16240 17528 18154 20290 21910 25040 28406 32464 35056 36308 40580 43820 45385 56812 58841 63539 71015 72616 81160 87640 90770 113624 117682 127078 142030 145232 162320 175280 181540 227248 235364 254156 284060 294205 317695 363080 411887 470728 508312 568120 588410 635077 635390 726160 823774 941456 1016624 1136240 1176820 1270154 1270780 1647548 2059435 2353640 2540308 2541560 3175385 3295096 4118870 4445539 4707280 5080616 5083120 6350770 6590192 8237740 8891078 10161232 12701540 16475480 17782156 18417233 22227695 25403080 32950960 35564312 36834466 44455390 50806160 71128624 73668932 88910780 92086165 128920631 147337864 177821560 184172330 257841262 294675728 355643120 368344660 515682524 644603155 736689320 1031365048 1289206310 1473378640 2062730096 2578412620 5156825240 10313650480