Search a number
-
+
2260510173805 = 513223832715171
BaseRepresentation
bin100000111001010000111…
…001111110101001101101
322000002202211200212002211
4200321100321332221231
5244014011101030210
64450244122050421
7322213356305662
oct40712071765155
98002684625084
102260510173805
117a174a075194
12306128349a11
1313521bc18500
147b5a30a7a69
153dc0387c38a
hex20e50e7ea6d

2260510173805 has 96 divisors (see below), whose sum is σ = 3114012045312. Its totient is φ = 1571359046400.

The previous prime is 2260510173797. The next prime is 2260510173821. The reversal of 2260510173805 is 5083710150622.

It is not a de Polignac number, because 2260510173805 - 23 = 2260510173797 is a prime.

It is a super-4 number, since 4×22605101738054 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437148870 + ... + 437154040.

It is an arithmetic number, because the mean of its divisors is an integer number (32437625472).

Almost surely, 22260510173805 is an apocalyptic number.

It is an amenable number.

2260510173805 is a deficient number, since it is larger than the sum of its proper divisors (853501871507).

2260510173805 is a wasteful number, since it uses less digits than its factorization.

2260510173805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579 (or 5566 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 2260510173805 in words is "two trillion, two hundred sixty billion, five hundred ten million, one hundred seventy-three thousand, eight hundred five".

Divisors: 1 5 13 23 65 83 115 169 271 299 415 845 1079 1355 1495 1909 3523 3887 5171 5395 6233 9545 14027 17615 19435 22493 24817 25855 31165 45799 67223 70135 81029 112465 118933 124085 228995 292409 322621 336115 405145 429193 517339 594665 873899 1053377 1401341 1462045 1546129 1613105 2145965 2586695 3801317 4369495 5266885 5579509 6725407 7006705 7730645 9871439 18217433 19006585 20099677 27897545 32230843 33627035 49357195 72533617 87430291 91087165 100498385 116311303 128328707 161154215 236826629 362668085 419000959 437151455 581556515 641643535 1184133145 1512046939 1668273191 2095004795 2675159969 5447012467 7560234695 8341365955 13375799845 19656610207 27235062335 34777079597 98283051035 173885397985 452102034761 2260510173805