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6929570440134 = 2334153107551911
BaseRepresentation
bin110010011010110101010…
…0101011010001111000110
3220112110102200022122011000
41210311222211122033012
51402013230013041014
622423222315354130
71313434133612346
oct144655245321706
926473380278130
106929570440134
1122318a5950621
1293abb7152946
133b35c01bcb54
1419d570562d26
15c03c253b509
hex64d6a95a3c6

6929570440134 has 128 divisors (see below), whose sum is σ = 16222503951360. Its totient is φ = 2190332102400.

The previous prime is 6929570440063. The next prime is 6929570440207. The reversal of 6929570440134 is 4310440759296.

6929570440134 is a `hidden beast` number, since 6 + 9 + 29 + 570 + 4 + 40 + 1 + 3 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12279639 + ... + 12831549.

It is an arithmetic number, because the mean of its divisors is an integer number (126738312120).

Almost surely, 26929570440134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6929570440134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111251975680).

6929570440134 is an abundant number, since it is smaller than the sum of its proper divisors (9292933511226).

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

6929570440134 is a wasteful number, since it uses less digits than its factorization.

6929570440134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552123 (or 552117 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 6929570440134 in words is "six trillion, nine hundred twenty-nine billion, five hundred seventy million, four hundred forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 53 54 82 106 107 123 159 214 246 318 321 369 477 642 738 954 963 1107 1431 1926 2173 2214 2862 2889 4346 4387 5671 5778 6519 8774 11342 13038 13161 17013 19557 26322 34026 39114 39483 51039 58671 78966 102078 117342 118449 153117 232511 236898 306234 465022 551911 697533 1103822 1395066 1655733 2092599 3311466 4185198 4967199 6277797 9934398 12555594 14901597 22628351 29251283 29803194 45256702 58502566 59054477 67885053 87753849 118108954 135770106 175507698 177163431 203655159 263261547 354326862 407310318 526523094 531490293 610965477 789784641 1062980586 1199302603 1221930954 1579569282 1594470879 2398605206 2421233557 3129887281 3188941758 3597907809 4842467114 6259774562 7195815618 7263700671 9389661843 10793723427 14527401342 18779323686 21587446854 21791102013 28168985529 32381170281 43582204026 56337971058 64762340562 65373306039 84506956587 128325378521 130746612078 169013913174 256650757042 384976135563 769952271126 1154928406689 2309856813378 3464785220067 6929570440134