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677048797044 = 223428137319937
BaseRepresentation
bin10011101101000110100…
…00001100011101110100
32101201120200202111010000
421312203100030131310
542043043443001134
61235010521231300
766625620551244
oct11664320143564
92351520674100
10677048797044
11241153439174
12ab272332530
134bacb534789
1424aab0b9b24
15129291d5e99
hex9da340c774

677048797044 has 120 divisors (see below), whose sum is σ = 1781089373448. Its totient is φ = 224265646080.

The previous prime is 677048797031. The next prime is 677048797049. The reversal of 677048797044 is 440797840776.

677048797044 is a `hidden beast` number, since 67 + 7 + 0 + 487 + 97 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70538048100 + 606510748944 = 265590^2 + 778788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677048797049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33949444 + ... + 33969380.

Almost surely, 2677048797044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677048797044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890544686724).

677048797044 is an abundant number, since it is smaller than the sum of its proper divisors (1104040576404).

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

677048797044 is a wasteful number, since it uses less digits than its factorization.

677048797044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20607 (or 20596 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 677048797044 in words is "six hundred seventy-seven billion, forty-eight million, seven hundred ninety-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 281 324 373 562 746 843 1119 1124 1492 1686 2238 2529 3357 3372 4476 5058 6714 7587 10071 10116 13428 15174 19937 20142 22761 30213 30348 39874 40284 45522 59811 60426 79748 91044 104813 119622 120852 179433 209626 239244 314439 358866 419252 538299 628878 717732 943317 1076598 1257756 1614897 1886634 2153196 2829951 3229794 3773268 5602297 5659902 6459588 7436501 8489853 11204594 11319804 14873002 16806891 16979706 22309503 22409188 29746004 33613782 33959412 44619006 50420673 66928509 67227564 89238012 100841346 133857018 151262019 200785527 201682692 267714036 302524038 401571054 453786057 602356581 605048076 803142108 907572114 1204713162 1815144228 2089656781 2409426324 4179313562 6268970343 8358627124 12537940686 18806911029 25075881372 37613822058 56420733087 75227644116 112841466174 169262199261 225682932348 338524398522 677048797044