Search a number
-
+
5871191004 = 22327101389593
BaseRepresentation
bin1010111011111001…
…10100001111011100
3120011011200101221200
411131330310033130
544011011103004
62410331555500
7265331204640
oct53574641734
916134611850
105871191004
112543152778
12117a2bbb90
137274a9423
143d9a7cc20
15245692239
hex15df343dc

5871191004 has 144 divisors (see below), whose sum is σ = 17202144960. Its totient is φ = 1653811200.

The previous prime is 5871190999. The next prime is 5871191069. The reversal of 5871191004 is 4001911785.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5871191004.

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, 9900532 + ... + 9901124.

It is an arithmetic number, because the mean of its divisors is an integer number (119459340).

Almost surely, 25871191004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5871191004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601072480).

5871191004 is an abundant number, since it is smaller than the sum of its proper divisors (11330953956).

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

5871191004 is a wasteful number, since it uses less digits than its factorization.

5871191004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 5871191004 is about 76623.6974049151. The cubic root of 5871191004 is about 1804.0229982008.

The spelling of 5871191004 in words is "five billion, eight hundred seventy-one million, one hundred ninety-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 389 404 593 606 707 778 909 1167 1186 1212 1414 1556 1779 1818 2121 2334 2372 2723 2828 3501 3558 3636 4151 4242 4668 5337 5446 6363 7002 7116 8169 8302 8484 10674 10892 12453 12726 14004 16338 16604 21348 24507 24906 25452 32676 37359 39289 49014 49812 59893 74718 78578 98028 117867 119786 149436 157156 179679 230677 235734 239572 275023 353601 359358 419251 461354 471468 539037 550046 692031 707202 718716 825069 838502 922708 1078074 1100092 1257753 1384062 1414404 1614739 1650138 1677004 2076093 2156148 2475207 2515506 2768124 3229478 3300276 3773259 4152186 4844217 4950414 5031012 6458956 7546518 8304372 9688434 9900828 14532651 15093036 19376868 23298377 29065302 46596754 58130604 69895131 93193508 139790262 163088639 209685393 279580524 326177278 419370786 489265917 652354556 838741572 978531834 1467797751 1957063668 2935595502 5871191004