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27750430136 = 231113298291009
BaseRepresentation
bin11001110110000011…
…011111010110111000
32122121222022220122202
4121312003133112320
5423313102231021
620425352005332
72001452523062
oct316603372670
978558286582
1027750430136
1110850437990
125465690848
1328032c9080
1414b3786732
15ac63b9a0b
hex6760df5b8

27750430136 has 128 divisors (see below), whose sum is σ = 63375480000. Its totient is φ = 11217346560.

The previous prime is 27750430109. The next prime is 27750430139. The reversal of 27750430136 is 63103405772.

It is a self number, because there is not a number n which added to its sum of digits gives 27750430136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27750430139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27502400 + ... + 27503408.

Almost surely, 227750430136 is an apocalyptic number.

27750430136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27750430136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31687740000).

27750430136 is an abundant number, since it is smaller than the sum of its proper divisors (35625049864).

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

27750430136 is a wasteful number, since it uses less digits than its factorization.

27750430136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 27750430136 in words is "twenty-seven billion, seven hundred fifty million, four hundred thirty thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 143 232 286 319 377 572 638 754 829 1009 1144 1276 1508 1658 2018 2552 3016 3316 4036 4147 6632 8072 8294 9119 10777 11099 13117 16588 18238 21554 22198 24041 26234 29261 33176 36476 43108 44396 48082 52468 58522 72952 86216 88792 96164 104936 117044 118547 144287 192328 234088 237094 264451 288574 312533 321871 380393 474188 528902 577148 625066 643742 760786 836461 948376 1057804 1154296 1250132 1287484 1521572 1672922 2115608 2500264 2574968 3043144 3345844 3437863 4184323 6691688 6875726 8368646 9201071 10873993 13751452 16737292 18402142 21747986 24257369 27502904 33474584 36804284 43495972 48514738 73608568 86991944 97029476 119613923 194058952 239227846 266831059 315345797 478455692 533662118 630691594 956911384 1067324236 1261383188 2134648472 2522766376 3468803767 6937607534 13875215068 27750430136