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13045859700 = 22352412574127
BaseRepresentation
bin11000010011001100…
…00000010101110100
31020200012002100010220
430021212000111310
5203204220002300
65554310014340
7641200656246
oct141146002564
936605070126
1013045859700
115595058535
1226410473b0
1312cba3a713
148ba8a6096
155154aeda0
hex309980574

13045859700 has 144 divisors (see below), whose sum is σ = 38826514944. Its totient is φ = 3380019200.

The previous prime is 13045859663. The next prime is 13045859747. The reversal of 13045859700 is 795854031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3159037 + ... + 3163163.

It is an arithmetic number, because the mean of its divisors is an integer number (269628576).

Almost surely, 213045859700 is an apocalyptic number.

13045859700 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 13045859700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413257472).

13045859700 is an abundant number, since it is smaller than the sum of its proper divisors (25780655244).

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

13045859700 is a wasteful number, since it uses less digits than its factorization.

13045859700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 13045859700 in words is "thirteen billion, forty-five million, eight hundred fifty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 257 300 410 492 514 615 771 820 1025 1028 1230 1285 1542 2050 2460 2570 3075 3084 3855 4100 4127 5140 6150 6425 7710 8254 10537 12300 12381 12850 15420 16508 19275 20635 21074 24762 25700 31611 38550 41270 42148 49524 52685 61905 63222 77100 82540 103175 105370 123810 126444 158055 169207 206350 210740 247620 263425 309525 316110 338414 412700 507621 526850 619050 632220 676828 790275 846035 1015242 1053700 1060639 1238100 1580550 1692070 2030484 2121278 2538105 3161100 3181917 3384140 4230175 4242556 5076210 5303195 6363834 8460350 10152420 10606390 12690525 12727668 15909585 16920700 21212780 25381050 26515975 31819170 43486199 50762100 53031950 63638340 79547925 86972398 106063900 130458597 159095850 173944796 217430995 260917194 318191700 434861990 521834388 652292985 869723980 1087154975 1304585970 2174309950 2609171940 3261464925 4348619900 6522929850 13045859700