Search a number
-
+
164302626264642 = 23337102738004823
BaseRepresentation
bin100101010110111010101111…
…101011001001011001000010
3210112202011210112002211202000
4211112322233223021121002
5133013413234310432032
61341235330130204430
746415321150120625
oct4526725753113102
9715664715084660
10164302626264642
1148396397190698
1216516b49123716
13708a8957593b8
142c8040a707dbc
1513edd4d358e7c
hex956eafac9642

164302626264642 has 64 divisors (see below), whose sum is σ = 375021521698560. Its totient is φ = 53282144466432.

The previous prime is 164302626264629. The next prime is 164302626264703. The reversal of 164302626264642 is 246462626203461.

164302626264642 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 0 + 2 + 6 + 2 + 626 + 4 + 6 + 4 + 2 = 666.

164302626264642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16523043 + ... + 24527865.

It is an arithmetic number, because the mean of its divisors is an integer number (5859711276540).

Almost surely, 2164302626264642 is an apocalyptic number.

164302626264642 is an abundant number, since it is smaller than the sum of its proper divisors (210718895433918).

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

164302626264642 is a wasteful number, since it uses less digits than its factorization.

164302626264642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015144 (or 8015138 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 164302626264642 in words is "one hundred sixty-four trillion, three hundred two billion, six hundred twenty-six million, two hundred sixty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 10273 20546 30819 61638 92457 184914 277371 380101 554742 760202 1140303 2280606 3420909 6841818 8004823 10262727 16009646 20525454 24014469 48028938 72043407 144086814 216130221 296178451 432260442 592356902 888535353 1777070706 2665606059 5331212118 7996818177 15993636354 82233546679 164467093358 246700640037 493401280074 740101920111 1480203840222 2220305760333 3042641227123 4440611520666 6085282454246 9127923681369 18255847362738 27383771044107 54767542088214 82151313132321 164302626264642