Search a number
-
+
30574192240806 = 23171923229822603
BaseRepresentation
bin1101111001110100110111…
…10111100010100010100110
311000020212100000200210212020
412330322123313202202212
513001411421203201211
6145005331235404010
76303624662041614
oct674723367424246
9130225300623766
1030574192240806
1198184954a8145
123519597153606
13140a1983c4716
14779b27c9c6b4
153804890b8306
hex1bce9bde28a6

30574192240806 has 96 divisors (see below), whose sum is σ = 71245008051840. Its totient is φ = 8691976288512.

The previous prime is 30574192240759. The next prime is 30574192240853. The reversal of 30574192240806 is 60804229147503.

It is an interprime number because it is at equal distance from previous prime (30574192240759) and next prime (30574192240853).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13886100 + ... + 15936503.

It is an arithmetic number, because the mean of its divisors is an integer number (742135500540).

It is a 1-persistent number, because it is pandigital, but 2⋅30574192240806 = 61148384481612 is not.

Almost surely, 230574192240806 is an apocalyptic number.

30574192240806 is an abundant number, since it is smaller than the sum of its proper divisors (40670815811034).

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

30574192240806 is a wasteful number, since it uses less digits than its factorization.

30574192240806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29822690 (or 29822667 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 30574192240806 in words is "thirty trillion, five hundred seventy-four billion, one hundred ninety-two million, two hundred forty thousand, eight hundred six".

Divisors: 1 2 3 6 17 19 23 34 38 46 51 57 69 102 114 138 323 391 437 529 646 782 874 969 1058 1173 1311 1587 1938 2346 2622 3174 7429 8993 10051 14858 17986 20102 22287 26979 30153 44574 53958 60306 170867 341734 512601 1025202 29822603 59645206 89467809 178935618 506984251 566629457 685919869 1013968502 1133258914 1371839738 1520952753 1699888371 2057759607 3041905506 3399776742 4115519214 9632700769 11660637773 13032477511 15776156987 19265401538 23321275546 26064955022 28898102307 31552313974 34981913319 39097432533 47328470961 57796204614 69963826638 78194865066 94656941922 221552117687 268194668779 299746982753 443104235374 536389337558 599493965506 664656353061 804584006337 899240948259 1329312706122 1609168012674 1798481896518 5095698706801 10191397413602 15287096120403 30574192240806