Search a number
-
+
145749869992573 = 71117678364331139
BaseRepresentation
bin100001001000111100001001…
…001110100001101001111101
3201010001112220001001011201021
4201020330021032201221331
5123100431213204230243
61233552322123544141
742462036435566140
oct4110741116415175
9633045801034637
10145749869992573
1142493199a129a0
121441b37468b051
1363431cca92632
1427dc48d306057
1511cb44e0296ed
hex848f093a1a7d

145749869992573 has 128 divisors (see below), whose sum is σ = 197941297397760. Its totient is φ = 103861541329920.

The previous prime is 145749869992549. The next prime is 145749869992583. The reversal of 145749869992573 is 375299968947541.

It is a de Polignac number, because none of the positive numbers 2k-145749869992573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145749869992583) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4680605838 + ... + 4680636976.

It is an arithmetic number, because the mean of its divisors is an integer number (1546416385920).

Almost surely, 2145749869992573 is an apocalyptic number.

It is an amenable number.

145749869992573 is a deficient number, since it is larger than the sum of its proper divisors (52191427405187).

145749869992573 is a wasteful number, since it uses less digits than its factorization.

145749869992573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31967.

The product of its digits is 37035532800, while the sum is 88.

The spelling of 145749869992573 in words is "one hundred forty-five trillion, seven hundred forty-nine billion, eight hundred sixty-nine million, nine hundred ninety-two thousand, five hundred seventy-three".

Divisors: 1 7 11 17 67 77 83 119 187 469 581 643 737 913 1139 1309 1411 4501 5159 5561 6391 7073 7973 9877 10931 12529 15521 31139 38927 43081 49511 53369 61171 76517 87703 94537 108647 120241 217973 301567 342529 373583 428197 473891 529363 587059 661759 732377 841687 907273 1039907 2086313 2397703 2584537 3317237 3575723 3705541 4109413 5126639 5822993 6350911 7279349 8056147 9980003 14604191 18091759 20022377 22949443 25030061 28429907 35467321 39332953 40760951 43937129 56393029 60787291 69860021 140156639 160646101 173163979 199009349 220246147 248271247 275330671 307559903 340380409 390140531 425511037 483308419 668660201 1212147853 1341499259 1541723029 1661857291 1904803769 2382662863 2730983717 2943787643 3383158933 3744184499 4680621407 9390494813 11633001037 13333626383 14756491849 18280430201 20606513501 22805487403 26209291493 28251573947 32381664073 103295442943 111344438497 127963011407 159638411821 197761017629 226671648511 250860361433 310767313417 779411069479 1224788823467 1756022530031 1892855454449 2175371193919 8573521764269 13249988181143 20821409998939 145749869992573