Search a number
-
+
86434195776 = 2632379247759
BaseRepresentation
bin101000001111111100…
…0010010100101000000
322021002202012002022020
41100133320102211000
52404004123231101
6103412440441440
76146630353605
oct1203770224500
9267082162266
1086434195776
1133724939655
1214902779280
1381c6155b56
14427d4d06ac
1523ad2c2136
hex141fe12940

86434195776 has 112 divisors (see below), whose sum is σ = 241655193600. Its totient is φ = 27209774592.

The previous prime is 86434195759. The next prime is 86434195789. The reversal of 86434195776 is 67759143468.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224985 + ... + 472743.

Almost surely, 286434195776 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 86434195776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120827596800).

86434195776 is an abundant number, since it is smaller than the sum of its proper divisors (155220997824).

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

86434195776 is a wasteful number, since it uses less digits than its factorization.

86434195776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247876 (or 247866 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The spelling of 86434195776 in words is "eighty-six billion, four hundred thirty-four million, one hundred ninety-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 79 92 96 138 158 184 192 237 276 316 368 474 552 632 736 948 1104 1264 1472 1817 1896 2208 2528 3634 3792 4416 5056 5451 7268 7584 10902 14536 15168 21804 29072 43608 58144 87216 116288 174432 247759 348864 495518 743277 991036 1486554 1982072 2973108 3964144 5698457 5946216 7928288 11396914 11892432 15856576 17095371 19572961 22793828 23784864 34190742 39145922 45587656 47569728 58718883 68381484 78291844 91175312 117437766 136762968 156583688 182350624 234875532 273525936 313167376 364701248 450178103 469751064 547051872 626334752 900356206 939502128 1094103744 1252669504 1350534309 1800712412 1879004256 2701068618 3601424824 3758008512 5402137236 7202849648 10804274472 14405699296 21608548944 28811398592 43217097888 86434195776