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10315675320 = 23351931145949
BaseRepresentation
bin10011001101101110…
…01011011010111000
3222121220202121020220
421212313023122320
5132111303102240
64423340420040
7513426536106
oct114667133270
928556677226
1010315675320
114413a25605
121bba847620
13c852160c2
146dc056c76
154059665d0
hex266dcb6b8

10315675320 has 128 divisors (see below), whose sum is σ = 33626880000. Its totient is φ = 2521981440.

The previous prime is 10315675267. The next prime is 10315675379. The reversal of 10315675320 is 2357651301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295 + ... + 143654.

It is an arithmetic number, because the mean of its divisors is an integer number (262710000).

Almost surely, 210315675320 is an apocalyptic number.

10315675320 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 10315675320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16813440000).

10315675320 is an abundant number, since it is smaller than the sum of its proper divisors (23311204680).

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

10315675320 is a wasteful number, since it uses less digits than its factorization.

10315675320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146013 (or 146009 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The spelling of 10315675320 in words is "ten billion, three hundred fifteen million, six hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 285 310 372 380 456 465 570 589 620 744 760 930 1140 1178 1240 1767 1860 2280 2356 2945 3534 3720 4712 5890 7068 8835 11780 14136 17670 23560 35340 70680 145949 291898 437847 583796 729745 875694 1167592 1459490 1751388 2189235 2773031 2918980 3502776 4378470 4524419 5546062 5837960 8319093 8756940 9048838 11092124 13573257 13865155 16638186 17513880 18097676 22184248 22622095 27146514 27730310 33276372 36195352 41595465 45244190 54293028 55460620 66552744 67866285 83190930 85963961 90488380 108586056 110921240 135732570 166381860 171927922 180976760 257891883 271465140 332763720 343855844 429819805 515783766 542930280 687711688 859639610 1031567532 1289459415 1719279220 2063135064 2578918830 3438558440 5157837660 10315675320