Search a number
-
+
67103508192 = 2537331301681
BaseRepresentation
bin111110011111101011…
…100100011011100000
320102012120002102002020
4332133223210123200
52044411444230232
650454341021440
74563613260060
oct763753443340
9212176072066
1067103508192
11265051a9996
12110089b4880
136435334686
1433680753a0
151b2b1b5e2c
hexf9fae46e0

67103508192 has 96 divisors (see below), whose sum is σ = 201919382784. Its totient is φ = 19114444800.

The previous prime is 67103508187. The next prime is 67103508217. The reversal of 67103508192 is 29180530176.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×671035081922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71592 + ... + 373272.

It is an arithmetic number, because the mean of its divisors is an integer number (2103326904).

Almost surely, 267103508192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67103508192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100959691392).

67103508192 is an abundant number, since it is smaller than the sum of its proper divisors (134815874592).

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

67103508192 is a wasteful number, since it uses less digits than its factorization.

67103508192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302032 (or 302024 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 67103508192 in words is "sixty-seven billion, one hundred three million, five hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 331 336 662 672 993 1324 1986 2317 2648 3972 4634 5296 6951 7944 9268 10592 13902 15888 18536 27804 31776 37072 55608 74144 111216 222432 301681 603362 905043 1206724 1810086 2111767 2413448 3620172 4223534 4826896 6335301 7240344 8447068 9653792 12670602 14480688 16894136 25341204 28961376 33788272 50682408 67576544 99856411 101364816 199712822 202729632 299569233 399425644 599138466 698994877 798851288 1198276932 1397989754 1597702576 2096984631 2396553864 2795979508 3195405152 4193969262 4793107728 5591959016 8387938524 9586215456 11183918032 16775877048 22367836064 33551754096 67103508192