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146188992266496 = 28322518932
BaseRepresentation
bin100001001111010101000110…
…111101000100000100000000
3201011121112100020001222101100
4201033111012331010010000
5123130130024010011441
61234530143530134400
742535543336411614
oct4117250675040400
9634545306058340
10146188992266496
1142642448aa4783
12144904a5881400
136375741687c8a
142815829277344
1511d7aa032ccb6
hex84f546f44100

146188992266496 has 81 divisors (see below), whose sum is σ = 421500577683549. Its totient is φ = 48729470635008.

The previous prime is 146188992266477. The next prime is 146188992266549. The reversal of 146188992266496 is 694662299881641.

The square root of 146188992266496 is 12090864.

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

146188992266496 is a `hidden beast` number, since 1 + 4 + 6 + 18 + 8 + 9 + 92 + 26 + 6 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96896460960000 + 49292531306496 = 9843600^2 + 7020864^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 580235526 + ... + 580487418.

Almost surely, 2146188992266496 is an apocalyptic number.

146188992266496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146188992266496 is the 12090864-th square number.

It is an amenable number.

146188992266496 is an abundant number, since it is smaller than the sum of its proper divisors (275311585417053).

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

146188992266496 is an frugal number, since it uses more digits than its factorization.

146188992266496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503808 (or 251898 counting only the distinct ones).

The product of its digits is 3869835264, while the sum is 81.

The spelling of 146188992266496 in words is "one hundred forty-six trillion, one hundred eighty-eight billion, nine hundred ninety-two million, two hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 251893 503786 755679 1007572 1511358 2015144 2267037 3022716 4030288 4534074 6045432 8060576 9068148 12090864 16121152 18136296 24181728 32242304 36272592 48363456 64484608 72545184 96726912 145090368 193453824 290180736 580361472 63450083449 126900166898 190350250347 253800333796 380700500694 507600667592 571050751041 761401001388 1015201335184 1142101502082 1522802002776 2030402670368 2284203004164 3045604005552 4060805340736 4568406008328 6091208011104 8121610681472 9136812016656 12182416022208 16243221362944 18273624033312 24364832044416 36547248066624 48729664088832 73094496133248 146188992266496