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6141366622456 = 2313374143905269
BaseRepresentation
bin101100101011110010111…
…1110011101100011111000
3210202002221101210001012221
41121113211332131203320
51301110004323404311
621021145504213424
71202461534656412
oct131274576354370
923662841701187
106141366622456
111a585a239823a
128322a330a274
133571890b5120
1417335ab219b2
15a9b3eb59671
hex595e5f9d8f8

6141366622456 has 128 divisors (see below), whose sum is σ = 13350052900800. Its totient is φ = 2628029214720.

The previous prime is 6141366622441. The next prime is 6141366622459. The reversal of 6141366622456 is 6542266631416.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141366622459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6331390 + ... + 7236658.

Almost surely, 26141366622456 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 6141366622456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675026450400).

6141366622456 is an abundant number, since it is smaller than the sum of its proper divisors (7208686278344).

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

6141366622456 is a wasteful number, since it uses less digits than its factorization.

6141366622456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905409 (or 905405 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 52.

The spelling of 6141366622456 in words is "six trillion, one hundred forty-one billion, three hundred sixty-six million, six hundred twenty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 37 41 43 52 74 82 86 104 148 164 172 296 328 344 481 533 559 962 1066 1118 1517 1591 1763 1924 2132 2236 3034 3182 3526 3848 4264 4472 6068 6364 7052 12136 12728 14104 19721 20683 22919 39442 41366 45838 65231 78884 82732 91676 130462 157768 165464 183352 260924 521848 848003 905269 1696006 1810538 3392012 3621076 6784024 7242152 11768497 23536994 33494953 37116029 38926567 47073988 66989906 74232058 77853134 94147976 133979812 148464116 155706268 267959624 296928232 311412536 435434389 482508377 506045371 870868778 965016754 1012090742 1373293073 1440282979 1595989247 1741737556 1930033508 2024181484 2746586146 2880565958 3191978494 3483475112 3860067016 4048362968 5493172292 5761131916 6383956988 10986344584 11522263832 12767913976 17852809949 18723678727 20747860211 35705619898 37447357454 41495720422 59051602139 71411239796 74894714908 82991440844 118103204278 142822479592 149789429816 165982881688 236206408556 472412817112 767670827807 1535341655614 3070683311228 6141366622456