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193649283136 = 266728212
BaseRepresentation
bin1011010001011001100…
…1011001000001000000
3200111211202021211201201
42310112121121001000
511133043204030021
6224543344110544
716663544514331
oct2642631310100
9614752254651
10193649283136
1175142a76671
1231644905454
13153516a8b4a
14953089a288
155085b60591
hex2d16659040

193649283136 has 63 divisors (see below), whose sum is σ = 390569537757. Its totient is φ = 95263322880.

The previous prime is 193649283097. The next prime is 193649283137. The reversal of 193649283136 is 631382946391.

The square root of 193649283136 is 440056.

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., 52874243136 + 140775040000 = 229944^2 + 375200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193649283137) 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, 235869606 + ... + 235870426.

Almost surely, 2193649283136 is an apocalyptic number.

193649283136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193649283136 is the 440056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193649283136

193649283136 is an abundant number, since it is smaller than the sum of its proper divisors (196920254621).

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

193649283136 is an frugal number, since it uses more digits than its factorization.

193649283136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 890 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 55.

It can be divided in two parts, 19364 and 9283136, that added together give a square (9302500 = 30502).

The spelling of 193649283136 in words is "one hundred ninety-three billion, six hundred forty-nine million, two hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 821 1072 1642 2144 3284 4288 4489 6568 8978 13136 17956 26272 35912 52544 55007 71824 110014 143648 220028 287296 440056 674041 880112 1348082 1760224 2696164 3520448 3685469 5392328 7370938 10784656 14741876 21569312 29483752 43138624 45160747 58967504 90321494 117935008 180642988 235870016 361285976 722571952 1445143904 2890287808 3025770049 6051540098 12103080196 24206160392 48412320784 96824641568 193649283136