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10919925240 = 2335741317071
BaseRepresentation
bin10100010101110000…
…01101010111111000
31001012000202200022120
422022320031113320
5134331000101430
65003323521240
7534414555510
oct121270152770
931160680276
1010919925240
1146a4016504
122149089220
13105046c233
147583c8840
1543da23610
hex28ae0d5f8

10919925240 has 128 divisors (see below), whose sum is σ = 38353029120. Its totient is φ = 2435097600.

The previous prime is 10919925229. The next prime is 10919925259. The reversal of 10919925240 is 4252991901.

10919925240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10919925192 and 10919925201.

It is a congruent number.

It is an unprimeable number.

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, 124096 + ... + 192975.

It is an arithmetic number, because the mean of its divisors is an integer number (299633040).

Almost surely, 210919925240 is an apocalyptic number.

10919925240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10919925240 is an abundant number, since it is smaller than the sum of its proper divisors (27433103880).

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

10919925240 is a wasteful number, since it uses less digits than its factorization.

10919925240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317133 (or 317129 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 10919925240 in words is "ten billion, nine hundred nineteen million, nine hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 2296 2460 2870 3444 4305 4920 5740 6888 8610 11480 17220 34440 317071 634142 951213 1268284 1585355 1902426 2219497 2536568 3170710 3804852 4438994 4756065 6341420 6658491 7609704 8877988 9512130 11097485 12682840 12999911 13316982 17755976 19024260 22194970 25999822 26633964 33292455 38048520 38999733 44389940 51999644 53267928 64999555 66584910 77999466 88779880 90999377 103999288 129999110 133169820 155998932 181998754 194998665 259998220 266339640 272998131 311997864 363997508 389997330 454996885 519996440 545996262 727995016 779994660 909993770 1091992524 1364990655 1559989320 1819987540 2183985048 2729981310 3639975080 5459962620 10919925240