Search a number
-
+
677472863088 = 243741148333161
BaseRepresentation
bin10011101101111001000…
…01111000001101110000
32101202200020201021100210
421312330201320031300
542044431023104323
61235120550344120
766642260215350
oct11667441701560
92352606637323
10677472863088
1124135085127a
12ab37035b040
134bb68351128
1424b0b546b60
1512951550293
hex9dbc878370

677472863088 has 160 divisors (see below), whose sum is σ = 2050385766912. Its totient is φ = 188709580800.

The previous prime is 677472863087. The next prime is 677472863107. The reversal of 677472863088 is 880368274776.

It is a happy number.

677472863088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677472863087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20413228 + ... + 20446388.

Almost surely, 2677472863088 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 677472863088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025192883456).

677472863088 is an abundant number, since it is smaller than the sum of its proper divisors (1372912903824).

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

677472863088 is a wasteful number, since it uses less digits than its factorization.

677472863088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34703 (or 34697 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 66.

The spelling of 677472863088 in words is "six hundred seventy-seven billion, four hundred seventy-two million, eight hundred sixty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1483 1722 1968 2296 2966 3444 4449 4592 5932 6888 8898 10381 11864 13776 17796 20762 23728 31143 33161 35592 41524 60803 62286 66322 71184 83048 99483 121606 124572 132644 166096 182409 198966 232127 243212 249144 265288 364818 397932 425621 464254 486424 498288 530576 696381 729636 795864 851242 928508 972848 1276863 1359601 1392762 1459272 1591728 1702484 1857016 2553726 2719202 2785524 2918544 3404968 3714032 4078803 5107452 5438404 5571048 6809936 8157606 9517207 10214904 10876808 11142096 16315212 19034414 20429808 21753616 28551621 32630424 38068828 49177763 57103242 65260848 76137656 98355526 114206484 147533289 152275312 196711052 228412968 295066578 344244341 393422104 456825936 590133156 688488682 786844208 1032733023 1180266312 1376977364 2016288283 2065466046 2360532624 2753954728 4032576566 4130932092 5507909456 6048864849 8065153132 8261864184 12097729698 14114017981 16130306264 16523728368 24195459396 28228035962 32260612528 42342053943 48390918792 56456071924 84684107886 96781837584 112912143848 169368215772 225824287696 338736431544 677472863088