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8342125045824 = 263157577479623
BaseRepresentation
bin111100101100100110101…
…1001100110100001000000
31002112111111001000110221210
41321121031121212201000
52043134133002431244
625424152551050120
71520461430632353
oct171311531464100
932474431013853
108342125045824
11272696a122999
12b28914970940
13486874b2218b
1420ba922b829a
15e6ee796e4b9
hex7964d666840

8342125045824 has 112 divisors (see below), whose sum is σ = 22251000545408. Its totient is φ = 2758202523648.

The previous prime is 8342125045819. The next prime is 8342125045883. The reversal of 8342125045824 is 4285405212438.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 17153277 + ... + 17632899.

Almost surely, 28342125045824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8342125045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11125500272704).

8342125045824 is an abundant number, since it is smaller than the sum of its proper divisors (13908875499584).

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

8342125045824 is a wasteful number, since it uses less digits than its factorization.

8342125045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480372 (or 480362 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 8342125045824 in words is "eight trillion, three hundred forty-two billion, one hundred twenty-five million, forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 577 628 942 1154 1256 1731 1884 2308 2512 3462 3768 4616 5024 6924 7536 9232 10048 13848 15072 18464 27696 30144 36928 55392 90589 110784 181178 271767 362356 479623 543534 724712 959246 1087068 1438869 1449424 1918492 2174136 2877738 2898848 3836984 4348272 5755476 5797696 7673968 8696544 11510952 15347936 17393088 23021904 30695872 46043808 75300811 92087616 150601622 225902433 276742471 301203244 451804866 553484942 602406488 830227413 903609732 1106969884 1204812976 1660454826 1807219464 2213939768 2409625952 3320909652 3614438928 4427879536 4819251904 6641819304 7228877856 8855759072 13283638608 14457755712 17711518144 26567277216 43448567947 53134554432 86897135894 130345703841 173794271788 260691407682 347588543576 521382815364 695177087152 1042765630728 1390354174304 2085531261456 2780708348608 4171062522912 8342125045824