Search a number
-
+
86932337401 = 7132197352981
BaseRepresentation
bin101000011110110010…
…0100011001011111001
322022101110112022011001
41100331210203023321
52411014134244101
6103534113405001
76165156450550
oct1207544431371
9268343468131
1086932337401
1133960046848
1214a21569761
13827540a100
1442c9720d97
1523dbdbe901
hex143d9232f9

86932337401 has 48 divisors (see below), whose sum is σ = 114797159040. Its totient is φ = 64267706880.

The previous prime is 86932337377. The next prime is 86932337423. The reversal of 86932337401 is 10473323968.

It is not a de Polignac number, because 86932337401 - 219 = 86931813113 is a prime.

It is a super-3 number, since 3×869323374013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86932337431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1614331 + ... + 1667311.

It is an arithmetic number, because the mean of its divisors is an integer number (2391607480).

Almost surely, 286932337401 is an apocalyptic number.

It is an amenable number.

86932337401 is a deficient number, since it is larger than the sum of its proper divisors (27864821639).

86932337401 is a wasteful number, since it uses less digits than its factorization.

86932337401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53106 (or 53093 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 86932337401 in words is "eighty-six billion, nine hundred thirty-two million, three hundred thirty-seven thousand, four hundred one".

Divisors: 1 7 13 19 73 91 133 169 247 511 949 1183 1387 1729 3211 6643 9709 12337 18031 22477 52981 86359 126217 234403 370867 688753 1006639 1640821 3867613 4821271 7046473 8953789 13086307 27073291 50278969 62676523 73484647 91604149 170121991 351952783 514392529 653626597 955300411 1190853937 4575386179 6687102877 12418905343 86932337401