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146854138968 = 2333679880273
BaseRepresentation
bin1000100011000100110…
…0000101010001011000
3112001001111222012211000
42020301030011101120
54401224124421333
6151244105505000
713416116404515
oct2106114052130
9461044865730
10146854138968
115730a3731a9
12245651a2160
1310b048b7c24
147171a5a30c
153c47827713
hex2231305458

146854138968 has 32 divisors (see below), whose sum is σ = 407928164400. Its totient is φ = 48951379584.

The previous prime is 146854138967. The next prime is 146854138969. The reversal of 146854138968 is 869831458641.

146854138968 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 541 + 3 + 89 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (146854138967) and next prime (146854138969).

It is a super-2 number, since 2×1468541389682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146854138967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339939921 + ... + 339940352.

Almost surely, 2146854138968 is an apocalyptic number.

146854138968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146854138968 is an abundant number, since it is smaller than the sum of its proper divisors (261074025432).

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

146854138968 is a wasteful number, since it uses less digits than its factorization.

146854138968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679880288 (or 679880278 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 146854138968 in words is "one hundred forty-six billion, eight hundred fifty-four million, one hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 679880273 1359760546 2039640819 2719521092 4079281638 5439042184 6118922457 8158563276 12237844914 16317126552 18356767371 24475689828 36713534742 48951379656 73427069484 146854138968