Search a number
-
+
13402642572 = 22321161554837
BaseRepresentation
bin11000111101101110…
…00001100010001100
31021121001102210020100
430132313001202030
5204422034030242
610053533051100
7653062403454
oct143667014214
937531383210
1013402642572
115758495810
122720626a90
13135792a047
1491201ad64
1553698854c
hex31edc188c

13402642572 has 72 divisors (see below), whose sum is σ = 37564751952. Its totient is φ = 3994819200.

The previous prime is 13402642553. The next prime is 13402642573. The reversal of 13402642572 is 27524620431.

13402642572 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 642 + 5 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13402642573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253263 + ... + 301574.

It is an arithmetic number, because the mean of its divisors is an integer number (521732666).

Almost surely, 213402642572 is an apocalyptic number.

13402642572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13402642572 is an abundant number, since it is smaller than the sum of its proper divisors (24162109380).

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

13402642572 is a wasteful number, since it uses less digits than its factorization.

13402642572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554919 (or 554914 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 13402642572 in words is "thirteen billion, four hundred two million, six hundred forty-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 1098 1342 2013 2196 2684 4026 6039 8052 12078 24156 554837 1109674 1664511 2219348 3329022 4993533 6103207 6658044 9987066 12206414 18309621 19974132 24412828 33845057 36619242 54928863 67690114 73238484 101535171 109857726 135380228 203070342 219715452 304605513 372295627 406140684 609211026 744591254 1116886881 1218422052 1489182508 2233773762 3350660643 4467547524 6701321286 13402642572