Search a number
-
+
1052791317630 = 2325132143341983
BaseRepresentation
bin11110101000111110100…
…00001010010001111110
310201122102211121020001100
433110133100022101332
5114222104034131010
62123351243353530
7136030102356033
oct17243720122176
93648384536040
101052791317630
11376539286218
121500558228a6
137837c4158b0
1438d5377b38a
151c5bb1cd2c0
hexf51f40a47e

1052791317630 has 96 divisors (see below), whose sum is σ = 2948023443456. Its totient is φ = 259130368512.

The previous prime is 1052791317623. The next prime is 1052791317667. The reversal of 1052791317630 is 367131972501.

1052791317630 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 7 + 9 + 1 + 3 + 1 + 7 + 630 = 666.

It is a super-2 number, since 2×10527913176302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 25055619 + ... + 25097601.

It is an arithmetic number, because the mean of its divisors is an integer number (30708577536).

Almost surely, 21052791317630 is an apocalyptic number.

1052791317630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1052791317630 is an abundant number, since it is smaller than the sum of its proper divisors (1895232125826).

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

1052791317630 is a wasteful number, since it uses less digits than its factorization.

1052791317630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63442 (or 63439 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 1052791317630 in words is "one trillion, fifty-two billion, seven hundred ninety-one million, three hundred seventeen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 21433 41983 42866 64299 83966 107165 125949 128598 192897 209915 214330 251898 278629 321495 377847 385794 419830 545779 557258 629745 642990 755694 835887 964485 1091558 1259490 1393145 1637337 1671774 1889235 1928970 2507661 2728895 2786290 3274674 3778470 4179435 4912011 5015322 5457790 8186685 8358870 9824022 12538305 16373370 24560055 25076610 49120110 899821639 1799643278 2699464917 4499108195 5398929834 8098394751 8998216390 11697681307 13497324585 16196789502 23395362614 26994649170 35093043921 40491973755 58488406535 70186087842 80983947510 105279131763 116976813070 175465219605 210558263526 350930439210 526395658815 1052791317630