Search a number
-
+
152640613645230 = 235177331525926759
BaseRepresentation
bin100010101101001101101001…
…100011011111101110101110
3202000110022002210220122101110
4202231031221203133232232
5130001330434043121410
61300350044014452450
744102630462330424
oct4255155143375656
9660408083818343
10152640613645230
11446aa5800853a7
1215152934804126
136722c42ca5709
142999bb9017114
15129a7eca77720
hex8ad3698dfbae

152640613645230 has 128 divisors (see below), whose sum is σ = 388455884006400. Its totient is φ = 38253599852544.

The previous prime is 152640613645229. The next prime is 152640613645237. The reversal of 152640613645230 is 32546316046251.

It is a super-3 number, since 3×1526406136452303 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152640613645230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152640613645237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5704258591 + ... + 5704285349.

It is an arithmetic number, because the mean of its divisors is an integer number (3034811593800).

Almost surely, 2152640613645230 is an apocalyptic number.

152640613645230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152640613645230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194227942003200).

152640613645230 is an abundant number, since it is smaller than the sum of its proper divisors (235815270361170).

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

152640613645230 is a wasteful number, since it uses less digits than its factorization.

152640613645230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42778.

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 152640613645230 in words is "one hundred fifty-two trillion, six hundred forty billion, six hundred thirteen million, six hundred forty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 733 1466 2199 3665 4398 7330 10995 12461 15259 21990 24922 26759 30518 37383 45777 53518 62305 74766 76295 80277 91554 124610 133795 152590 160554 186915 228885 259403 267590 373830 401385 454903 457770 518806 778209 802770 909806 1297015 1364709 1556418 2274515 2594030 2729418 3891045 4549030 6823545 7782090 11184847 13647090 19614347 22369694 33554541 39228694 55924235 58843041 67109082 98071735 111848470 117686082 167772705 190142399 196143470 294215205 333443899 335545410 380284798 408315581 570427197 588430410 666887798 816631162 950711995 1000331697 1140854394 1224946743 1667219495 1901423990 2000663394 2041577905 2449893486 2852135985 3334438990 4083155810 5001658485 5704271970 6124733715 6941364877 10003316970 12249467430 13882729754 20824094631 34706824385 41648189262 69413648770 104120473155 208240946310 299295320873 598590641746 897885962619 1496476604365 1795771925238 2992953208730 4489429813095 5088020454841 8978859626190 10176040909682 15264061364523 25440102274205 30528122729046 50880204548410 76320306822615 152640613645230