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1052393646744 = 2333111726054507
BaseRepresentation
bin11110101000001111000…
…11001010101010011000
310201121102010022110011000
433110013203022222120
5114220300233143434
62123244000105000
7136014203254506
oct17240743125230
93647363273130
101052393646744
113763548611a0
1214bb64605160
1378317c0b48b
1438d16a21676
151c596329b99
hexf5078caa98

1052393646744 has 128 divisors (see below), whose sum is σ = 3376664236800. Its totient is φ = 300147909120.

The previous prime is 1052393646713. The next prime is 1052393646751. The reversal of 1052393646744 is 4476463932501.

1052393646744 is a `hidden beast` number, since 1 + 0 + 5 + 239 + 364 + 6 + 7 + 44 = 666.

It is a super-2 number, since 2×10523936467442 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12986862 + ... + 13067645.

It is an arithmetic number, because the mean of its divisors is an integer number (26380189350).

Almost surely, 21052393646744 is an apocalyptic number.

It is an amenable number.

1052393646744 is an abundant number, since it is smaller than the sum of its proper divisors (2324270590056).

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

1052393646744 is a wasteful number, since it uses less digits than its factorization.

1052393646744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26054550 (or 26054540 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 1052393646744 in words is "one trillion, fifty-two billion, three hundred ninety-three million, six hundred forty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 3366 3672 4488 5049 6732 10098 13464 20196 40392 26054507 52109014 78163521 104218028 156327042 208436056 234490563 286599577 312654084 442926619 468981126 573199154 625308168 703471689 859798731 885853238 937962252 1146398308 1328779857 1406943378 1719597462 1771706476 1875924504 2292796616 2579396193 2657559714 2813886756 3439194924 3543412952 3986339571 4872192809 5158792386 5315119428 5627773512 6878389848 7738188579 7972679142 9744385618 10317584772 10630238856 11959018713 14616578427 15476377158 15945358284 19488771236 20635169544 23918037426 29233156854 30952754316 31890716568 38977542472 43849735281 47836074852 58466313708 61905508632 87699470562 95672149704 116932627416 131549205843 175398941124 263098411686 350797882248 526196823372 1052393646744