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2706799992 = 233132412397
BaseRepresentation
bin1010000101010110…
…0111110101111000
320222122022200112120
42201111213311320
521020420044432
61124332041240
7124035264111
oct24125476570
96878280476
102706799992
111169a10996
12636603220
13341a27900
141b96c3208
1510c979c2c
hexa1567d78

2706799992 has 144 divisors (see below), whose sum is σ = 7529578920. Its totient is φ = 810501120.

The previous prime is 2706799973. The next prime is 2706800017. The reversal of 2706799992 is 2999976072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6817938 + ... + 6818334.

Almost surely, 22706799992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2706799992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764789460).

2706799992 is an abundant number, since it is smaller than the sum of its proper divisors (4822778928).

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

2706799992 is a wasteful number, since it uses less digits than its factorization.

2706799992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 60.

The square root of 2706799992 is about 52026.9160339146. The cubic root of 2706799992 is about 1393.6446614483.

The spelling of 2706799992 in words is "two billion, seven hundred six million, seven hundred ninety-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 169 246 312 328 338 397 492 507 533 676 794 984 1014 1066 1191 1352 1588 1599 1681 2028 2132 2382 3176 3198 3362 4056 4264 4764 5043 5161 6396 6724 6929 9528 10086 10322 12792 13448 13858 15483 16277 20172 20644 20787 21853 27716 30966 32554 40344 41288 41574 43706 48831 55432 61932 65108 65559 67093 83148 87412 97662 123864 130216 131118 134186 166296 174824 195324 201279 211601 262236 268372 284089 390648 402558 423202 524472 536744 568178 634803 667357 805116 846404 852267 1136356 1269606 1334714 1610232 1692808 1704534 2002071 2272712 2539212 2669428 2750813 3409068 4004142 5078424 5338856 5501626 6818136 8008284 8252439 8675641 11003252 16016568 16504878 17351282 22006504 26026923 33009756 34702564 52053846 66019512 69405128 104107692 112783333 208215384 225566666 338349999 451133332 676699998 902266664 1353399996 2706799992