Search a number
-
+
1015729812108 = 22321137531307993
BaseRepresentation
bin11101100011111100011…
…01101111001010001100
310121002202221211200011200
432301332031233022030
5113120203312441413
62054341514545500
7133245505643364
oct16617615571214
93532687750150
101015729812108
1136184aaa9610
12144a31a38290
1374a2409157b
14372395659a4
151b64c68b573
hexec7e36f28c

1015729812108 has 144 divisors (see below), whose sum is σ = 2930932027296. Its totient is φ = 293827322880.

The previous prime is 1015729812049. The next prime is 1015729812151. The reversal of 1015729812108 is 8012189275101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122560 + ... + 1430552.

It is an arithmetic number, because the mean of its divisors is an integer number (20353694634).

Almost surely, 21015729812108 is an apocalyptic number.

1015729812108 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 1015729812108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465466013648).

1015729812108 is an abundant number, since it is smaller than the sum of its proper divisors (1915202215188).

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

1015729812108 is a wasteful number, since it uses less digits than its factorization.

1015729812108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308104 (or 1308099 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

The spelling of 1015729812108 in words is "one trillion, fifteen billion, seven hundred twenty-nine million, eight hundred twelve thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 53 66 74 99 106 111 132 148 159 198 212 222 318 333 396 407 444 477 583 636 666 814 954 1166 1221 1332 1628 1749 1908 1961 2332 2442 3498 3663 3922 4884 5247 5883 6996 7326 7844 10494 11766 14652 17649 20988 21571 23532 35298 43142 64713 70596 86284 129426 194139 258852 388278 776556 1307993 2615986 3923979 5231972 7847958 11771937 14387923 15695916 23543874 28775846 43163769 47087748 48395741 57551692 69323629 86327538 96791482 129491307 138647258 145187223 172655076 193582964 207970887 258982614 277294516 290374446 415941774 435561669 517965228 532353151 580748892 623912661 762559919 831883548 871123338 1064706302 1247825322 1525119838 1597059453 1742246676 2129412604 2287679757 2495650644 2564974273 3050239676 3194118906 4575359514 4791178359 5129948546 6388237812 6863039271 7694922819 9150719028 9582356718 10259897092 13726078542 15389845638 19164713436 23084768457 27452157084 28214717003 30779691276 46169536914 56429434006 84644151009 92339073828 112858868012 169288302018 253932453027 338576604036 507864906054 1015729812108