Search a number
-
+
1013327035416 = 2332192332205919
BaseRepresentation
bin11101011111011101111…
…11110111110000011000
310120212120111120222012100
432233232333313300120
5113100243210113131
62053303243043400
7133132121453463
oct16575677676030
93525514528170
101013327035416
1136082776a953
12144481210560
1374730342b07
143708c3c22da
151b55b7677e6
hexebeeff7c18

1013327035416 has 96 divisors (see below), whose sum is σ = 3014474112000. Its totient is φ = 306085044672.

The previous prime is 1013327035381. The next prime is 1013327035417. The reversal of 1013327035416 is 6145307233101.

1013327035416 is a `hidden beast` number, since 1 + 0 + 1 + 33 + 270 + 354 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013327035417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16071496 + ... + 16134423.

It is an arithmetic number, because the mean of its divisors is an integer number (31400772000).

Almost surely, 21013327035416 is an apocalyptic number.

It is an amenable number.

1013327035416 is an abundant number, since it is smaller than the sum of its proper divisors (2001147076584).

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

1013327035416 is a wasteful number, since it uses less digits than its factorization.

1013327035416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32205973 (or 32205966 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1013327035416 in words is "one trillion, thirteen billion, three hundred twenty-seven million, thirty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 552 684 828 874 1311 1368 1656 1748 2622 3496 3933 5244 7866 10488 15732 31464 32205919 64411838 96617757 128823676 193235514 257647352 289853271 386471028 579706542 611912461 740736137 772942056 1159413084 1223824922 1481472274 1835737383 2222208411 2318826168 2447649844 2962944548 3671474766 4444416822 4895299688 5507212149 5925889096 6666625233 7342949532 8888833644 11014424298 13333250466 14073986603 14685899064 17777667288 22028848596 26666500932 28147973206 42221959809 44057697192 53333001864 56295946412 84443919618 112591892824 126665879427 168887839236 253331758854 337775678472 506663517708 1013327035416