Search a number
-
+
3482037112653 = 3211174348115037
BaseRepresentation
bin110010101010111001100…
…101011100111101001101
3110022212202011010202122200
4302222321211130331031
5424022203000101103
611223343055432113
7506366061052461
oct62527145347515
913285664122580
103482037112653
1111227a61a0030
12482a13225639
131c347c342948
14c07625d04a1
15608983a00a3
hex32ab995cf4d

3482037112653 has 48 divisors (see below), whose sum is σ = 5944709174976. Its totient is φ = 1939998251520.

The previous prime is 3482037112639. The next prime is 3482037112693. The reversal of 3482037112653 is 3562117302843.

3482037112653 is a `hidden beast` number, since 3 + 482 + 0 + 3 + 7 + 112 + 6 + 53 = 666.

It is not a de Polignac number, because 3482037112653 - 28 = 3482037112397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3482037112599 and 3482037112608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482037112633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23985150 + ... + 24129887.

It is an arithmetic number, because the mean of its divisors is an integer number (123848107812).

Almost surely, 23482037112653 is an apocalyptic number.

3482037112653 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3482037112653 is a deficient number, since it is larger than the sum of its proper divisors (2462672062323).

3482037112653 is a wasteful number, since it uses less digits than its factorization.

3482037112653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48115114 (or 48115111 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3482037112653 in words is "three trillion, four hundred eighty-two billion, thirty-seven million, one hundred twelve thousand, six hundred fifty-three".

Divisors: 1 3 9 11 17 33 43 51 99 129 153 187 387 473 561 731 1419 1683 2193 4257 6579 8041 24123 72369 48115037 144345111 433035333 529265407 817955629 1587796221 2068946591 2453866887 4763388663 6206839773 7361600661 8997511919 18620519319 22758412501 26992535757 35172092047 68275237503 80977607271 105516276141 204825712509 316548828423 386893012517 1160679037551 3482037112653