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1661607323136 = 293440065763
BaseRepresentation
bin11000001011011111100…
…000111010011000000000
312212211220021022202120000
4120023133200322120000
5204210432433320021
63311155403320000
7231022115132025
oct30133740723000
95784807282500
101661607323136
1159075801a182
1222a044b20000
13c08c56812b7
145a5ca81d54c
152d34eed0b26
hex182df83a600

1661607323136 has 100 divisors (see below), whose sum is σ = 4959460465212. Its totient is φ = 553869093888.

The previous prime is 1661607323119. The next prime is 1661607323143. The reversal of 1661607323136 is 6313237061661.

1661607323136 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 607 + 3 + 2 + 3 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1661607323091 and 1661607323100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19991410 + ... + 20074353.

Almost surely, 21661607323136 is an apocalyptic number.

1661607323136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1661607323136 is an abundant number, since it is smaller than the sum of its proper divisors (3297853142076).

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

1661607323136 is an frugal number, since it uses more digits than its factorization.

1661607323136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40065793 (or 40065768 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 1661607323136 in words is "one trillion, six hundred sixty-one billion, six hundred seven million, three hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 40065763 80131526 120197289 160263052 240394578 320526104 360591867 480789156 641052208 721183734 961578312 1081775601 1282104416 1442367468 1923156624 2163551202 2564208832 2884734936 3245326803 3846313248 4327102404 5128417664 5769469872 6490653606 7692626496 8654204808 10256835328 11538939744 12981307212 15385252992 17308409616 20513670656 23077879488 25962614424 30770505984 34616819232 46155758976 51925228848 61541011968 69233638464 92311517952 103850457696 138467276928 184623035904 207700915392 276934553856 415401830784 553869107712 830803661568 1661607323136