Search a number
-
+
92681242704 = 24322379735111
BaseRepresentation
bin101011001010000111…
…0111000100001010000
322212020010002221122200
41112110032320201100
53004302344231304
6110324400403200
76460504364451
oct1262416704120
9285203087580
1092681242704
1136340166456
1215b66916500
13898046c11b
1446b304b128
152626958e39
hex15943b8850

92681242704 has 120 divisors (see below), whose sum is σ = 271003404672. Its totient is φ = 29512623360.

The previous prime is 92681242699. The next prime is 92681242721. The reversal of 92681242704 is 40724218629.

It is a self number, because there is not a number n which added to its sum of digits gives 92681242704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2622109 + ... + 2657219.

Almost surely, 292681242704 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 92681242704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135501702336).

92681242704 is an abundant number, since it is smaller than the sum of its proper divisors (178322161968).

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

92681242704 is a wasteful number, since it uses less digits than its factorization.

92681242704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35945 (or 35936 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 92681242704 in words is "ninety-two billion, six hundred eighty-one million, two hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 797 828 1104 1594 1656 2391 3188 3312 4782 6376 7173 9564 12752 14346 18331 19128 28692 35111 36662 38256 54993 57384 70222 73324 105333 109986 114768 140444 146648 164979 210666 219972 280888 293296 315999 329958 421332 439944 561776 631998 659916 807553 842664 879888 1263996 1319832 1615106 1685328 2422659 2527992 2639664 3230212 4845318 5055984 6460424 7267977 9690636 12920848 14535954 19381272 27983467 29071908 38762544 55966934 58143816 83950401 111933868 116287632 167900802 223867736 251851203 335801604 447735472 503702406 643619741 671603208 1007404812 1287239482 1343206416 1930859223 2014809624 2574478964 3861718446 4029619248 5148957928 5792577669 7723436892 10297915856 11585155338 15446873784 23170310676 30893747568 46340621352 92681242704