Search a number
-
+
9468308700 = 2234521168927
BaseRepresentation
bin10001101000101101…
…01110110011011100
3220102212021220210000
420310112232303130
5123342341334300
64203310414300
7453430203354
oct106426566334
926385256700
109468308700
114019682514
121a02b01390
13b7b7ba636
1465b6bbb64
153a6384c00
hex2345aecdc

9468308700 has 90 divisors (see below), whose sum is σ = 30692542496. Its totient is φ = 2524880160.

The previous prime is 9468308693. The next prime is 9468308701. The reversal of 9468308700 is 78038649.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9468308701) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 576364 + ... + 592563.

Almost surely, 29468308700 is an apocalyptic number.

9468308700 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9468308700 is an abundant number, since it is smaller than the sum of its proper divisors (21224233796).

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

9468308700 is a wasteful number, since it uses less digits than its factorization.

9468308700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168953 (or 1168937 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9468308700 is about 97305.2346998865. The cubic root of 9468308700 is about 2115.5541025939.

The spelling of 9468308700 in words is "nine billion, four hundred sixty-eight million, three hundred eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 1168927 2337854 3506781 4675708 5844635 7013562 10520343 11689270 14027124 17533905 21040686 23378540 29223175 31561029 35067810 42081372 52601715 58446350 63122058 70135620 87669525 94683087 105203430 116892700 126244116 157805145 175339050 189366174 210406860 263008575 315610290 350678100 378732348 473415435 526017150 631220580 789025725 946830870 1052034300 1578051450 1893661740 2367077175 3156102900 4734154350 9468308700