Search a number
-
+
1828727785152 = 263217186757331
BaseRepresentation
bin11010100111001000101…
…010111000011011000000
320110211021011221212011100
4122213020222320123000
5214430213303111102
63520034515014400
7246056402461512
oct32471052703300
96424234855140
101828727785152
11645617183894
1225650529a400
131035a9b80148
1464721c89bb2
1532881b2ea1c
hex1a9c8ab86c0

1828727785152 has 84 divisors (see below), whose sum is σ = 5550054392376. Its totient is φ = 573718517760.

The previous prime is 1828727785121. The next prime is 1828727785163. The reversal of 1828727785152 is 2515877278281.

1828727785152 is a `hidden beast` number, since 1 + 8 + 28 + 7 + 27 + 78 + 515 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1828727785152.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93368874 + ... + 93388457.

Almost surely, 21828727785152 is an apocalyptic number.

1828727785152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1828727785152 is an abundant number, since it is smaller than the sum of its proper divisors (3721326607224).

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

1828727785152 is a wasteful number, since it uses less digits than its factorization.

1828727785152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186757366 (or 186757353 counting only the distinct ones).

The product of its digits is 35123200, while the sum is 63.

The spelling of 1828727785152 in words is "one trillion, eight hundred twenty-eight billion, seven hundred twenty-seven million, seven hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 186757331 373514662 560271993 747029324 1120543986 1494058648 1680815979 2241087972 2988117296 3174874627 3361631958 4482175944 5976234592 6349749254 6723263916 8964351888 9524623881 11952469184 12699498508 13446527832 17928703776 19049247762 25398997016 26893055664 28573871643 35857407552 38098495524 50797994032 53786111328 57147743286 76196991048 101595988064 107572222656 114295486572 152393982096 203191976128 228590973144 304787964192 457181946288 609575928384 914363892576 1828727785152