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146387351236 = 2272273292
BaseRepresentation
bin1000100001010101011…
…1011011011011000100
3111222211222121221102111
42020111113123123010
54344300130214421
6151125512550404
713401420645400
oct2102527333304
9458758557374
10146387351236
115709a930715
12244549b2404
1310a5bc90c79
147129a6c100
153c1b86eee1
hex22155db6c4

146387351236 has 27 divisors (see below), whose sum is σ = 298013726829. Its totient is φ = 62735140608.

The previous prime is 146387351233. The next prime is 146387351261. The reversal of 146387351236 is 632153783641.

The square root of 146387351236 is 382606.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 69857661636 + 76529689600 = 264306^2 + 276640^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 146387351236.

It is not an unprimeable number, because it can be changed into a prime (146387351233) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5342820 + ... + 5370148.

Almost surely, 2146387351236 is an apocalyptic number.

146387351236 is the 382606-th square number.

It is an amenable number.

146387351236 is an abundant number, since it is smaller than the sum of its proper divisors (151626375593).

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

146387351236 is an frugal number, since it uses more digits than its factorization.

146387351236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54676 (or 27338 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

Multiplying 146387351236 by its sum of digits (49), we get a square (7172980210564 = 26782422).

146387351236 divided by its sum of digits (49) gives a square (2987496964 = 546582).

The spelling of 146387351236 in words is "one hundred forty-six billion, three hundred eighty-seven million, three hundred fifty-one thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 27329 54658 109316 191303 382606 765212 1339121 2678242 5356484 746874241 1493748482 2987496964 5228119687 10456239374 20912478748 36596837809 73193675618 146387351236