Search a number
-
+
651141141156 = 22321117103939061
BaseRepresentation
bin10010111100110110000…
…10010101001010100100
32022020201010221012111100
421132123002111022210
541132014113004111
61215044034240100
765020612243632
oct11363302251244
92266633835440
10651141141156
11231169220910
12a6241a26030
134952cc53c8c
1423730382352
1511e0e9c3756
hex979b0952a4

651141141156 has 144 divisors (see below), whose sum is σ = 1919653077888. Its totient is φ = 183905510400.

The previous prime is 651141141149. The next prime is 651141141169.

651141141156 is a `hidden beast` number, since 6 + 51 + 1 + 411 + 41 + 156 = 666.

651141141156 is nontrivially palindromic in base 10.

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 651141141156.

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, 223866 + ... + 1162926.

It is an arithmetic number, because the mean of its divisors is an integer number (13330924152).

Almost surely, 2651141141156 is an apocalyptic number.

651141141156 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 651141141156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959826538944).

651141141156 is an abundant number, since it is smaller than the sum of its proper divisors (1268511936732).

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

651141141156 is a wasteful number, since it uses less digits than its factorization.

651141141156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939202 (or 939197 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

It can be divided in two parts, 651141 and 141156, that added together give a palindrome (792297).

The spelling of 651141141156 in words is "six hundred fifty-one billion, one hundred forty-one million, one hundred forty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 103 132 153 187 198 204 206 306 309 374 396 412 561 612 618 748 927 1122 1133 1236 1683 1751 1854 2244 2266 3366 3399 3502 3708 4532 5253 6732 6798 7004 10197 10506 13596 15759 19261 20394 21012 31518 38522 40788 57783 63036 77044 115566 173349 231132 346698 693396 939061 1878122 2817183 3756244 5634366 8451549 10329671 11268732 15964037 16903098 20659342 30989013 31928074 33806196 41318684 47892111 61978026 63856148 92967039 95784222 96723283 123956052 143676333 175604407 185934078 191568444 193446566 287352666 290169849 351208814 371868156 386893132 526813221 574705332 580339698 702417628 870509547 1053626442 1063956113 1160679396 1580439663 1644295811 1741019094 2107252884 2127912226 3160879326 3191868339 3288591622 3482038188 4255824452 4932887433 6321758652 6383736678 6577183244 9575605017 9865774866 12767473356 14798662299 18087253921 19151210034 19731549732 29597324598 36174507842 38302420068 54261761763 59194649196 72349015684 108523523526 162785285289 217047047052 325570570578 651141141156