Search a number
-
+
10770020712 = 23331141110557
BaseRepresentation
bin10100000011111000…
…10111100101101000
31000210120200201222000
422001330113211220
5134024111130322
64540410531000
7530614444203
oct120174274550
930716621860
1010770020712
114627439a70
122106a36a60
1310283a4929
1474252693a
154307b23ac
hex281f17968

10770020712 has 128 divisors (see below), whose sum is σ = 33432739200. Its totient is φ = 3184012800.

The previous prime is 10770020689. The next prime is 10770020747. The reversal of 10770020712 is 21702007701.

It is a super-2 number, since 2×107700207122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42138 + ... + 152694.

It is an arithmetic number, because the mean of its divisors is an integer number (261193275).

Almost surely, 210770020712 is an apocalyptic number.

10770020712 is a gapful number since it is divisible by the number (12) 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 10770020712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16716369600).

10770020712 is an abundant number, since it is smaller than the sum of its proper divisors (22662718488).

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

10770020712 is a wasteful number, since it uses less digits than its factorization.

10770020712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110624 (or 110614 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The spelling of 10770020712 in words is "ten billion, seven hundred seventy million, twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 41 44 54 66 72 82 88 99 108 123 132 164 198 216 246 264 297 328 369 396 451 492 594 738 792 902 984 1107 1188 1353 1476 1804 2214 2376 2706 2952 3608 4059 4428 5412 8118 8856 10824 12177 16236 24354 32472 48708 97416 110557 221114 331671 442228 663342 884456 995013 1216127 1326684 1990026 2432254 2653368 2985039 3648381 3980052 4532837 4864508 5970078 7296762 7960104 9065674 9729016 10945143 11940156 13598511 14593524 18131348 21890286 23880312 27197022 29187048 32835429 36262696 40795533 43780572 49861207 54394044 65670858 81591066 87561144 99722414 108788088 122386599 131341716 149583621 163182132 199444828 244773198 262683432 299167242 326364264 398889656 448750863 489546396 598334484 897501726 979092792 1196668968 1346252589 1795003452 2692505178 3590006904 5385010356 10770020712