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2375689662 = 234197397109
BaseRepresentation
bin1000110110011010…
…0010010110111110
320010120021112120000
42031212202112332
514331134032122
61031423135130
7112605012633
oct21546422676
96116245500
102375689662
11100a018895
125637444a6
132bb256638
1418773218a
15dd8730ac
hex8d9a25be

2375689662 has 160 divisors (see below), whose sum is σ = 5791447200. Its totient is φ = 725594112.

The previous prime is 2375689637. The next prime is 2375689697. The reversal of 2375689662 is 2669865732.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2375689599 and 2375689608.

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 79 ways as a sum of consecutive naturals, for example, 21795264 + ... + 21795372.

It is an arithmetic number, because the mean of its divisors is an integer number (36196545).

Almost surely, 22375689662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2375689662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895723600).

2375689662 is an abundant number, since it is smaller than the sum of its proper divisors (3415757538).

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

2375689662 is a wasteful number, since it uses less digits than its factorization.

2375689662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2375689662 is about 48741.0469932684. The cubic root of 2375689662 is about 1334.3299553866.

The spelling of 2375689662 in words is "two billion, three hundred seventy-five million, six hundred eighty-nine thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 73 81 97 109 114 146 162 171 194 218 219 291 327 342 438 513 582 654 657 873 981 1026 1314 1387 1539 1746 1843 1962 1971 2071 2619 2774 2943 3078 3686 3942 4142 4161 5238 5529 5886 5913 6213 7081 7857 7957 8322 8829 10573 11058 11826 12426 12483 14162 15714 15914 16587 17658 18639 21146 21243 23871 24966 31719 33174 37278 37449 42486 47742 49761 55917 63438 63729 71613 74898 95157 99522 111834 112347 127458 134539 143226 149283 151183 167751 190314 191187 200887 214839 224694 269078 285471 298566 302366 335502 382374 401774 403617 429678 453549 570942 573561 602661 644517 771829 807234 856413 907098 1147122 1205322 1210851 1289034 1360647 1543658 1712826 1807983 2315487 2421702 2721294 3615966 3632553 4081941 4630974 5423949 6946461 7265106 8163882 10847898 10897659 12245823 13892922 14664751 16271847 20839383 21795318 24491646 29329502 32543694 41678766 43994253 62518149 87988506 125036298 131982759 263965518 395948277 791896554 1187844831 2375689662