Search a number
-
+
6930536762331 = 37713227153409
BaseRepresentation
bin110010011011010010000…
…1011101000101111011011
3220112112221000121220000000
41210312210023220233123
51402022214402343311
622423502235144043
71313500106326260
oct144664413505733
926475830556000
106930536762331
112232251361806
1293b2268a5023
133b3715468030
1419d622a25267
15c042c2b9056
hex64da42e8bdb

6930536762331 has 128 divisors (see below), whose sum is σ = 12849327052800. Its totient is φ = 3639539755008.

The previous prime is 6930536762329. The next prime is 6930536762363. The reversal of 6930536762331 is 1332676350396.

6930536762331 is a `hidden beast` number, since 6 + 9 + 3 + 0 + 5 + 3 + 6 + 7 + 623 + 3 + 1 = 666.

It is not a de Polignac number, because 6930536762331 - 21 = 6930536762329 is a prime.

It is a super-2 number, since 2×69305367623312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6930536766331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45100155 + ... + 45253563.

It is an arithmetic number, because the mean of its divisors is an integer number (100385367600).

Almost surely, 26930536762331 is an apocalyptic number.

6930536762331 is a deficient number, since it is larger than the sum of its proper divisors (5918790290469).

6930536762331 is a wasteful number, since it uses less digits than its factorization.

6930536762331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153677 (or 153659 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 54.

The spelling of 6930536762331 in words is "six trillion, nine hundred thirty billion, five hundred thirty-six million, seven hundred sixty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 227 243 273 351 567 681 729 819 1053 1589 1701 2043 2187 2457 2951 3159 4767 5103 6129 7371 8853 9477 14301 15309 18387 20657 22113 26559 28431 42903 55161 61971 66339 79677 128709 153409 165483 185913 199017 239031 386127 460227 496449 557739 717093 1073863 1158381 1380681 1673217 1994317 2151279 3221589 3475143 4142043 5019651 5982951 6453837 9664767 12426129 13960219 15058953 17948853 28994301 34823843 37278387 41880657 45176859 53846559 86982903 104471529 111835161 125641971 161539677 243766901 260948709 313414587 335505483 376925913 452709959 484619031 731300703 782846127 940243761 1130777739 1358129877 1453857093 2193902109 2348538381 2820731283 3168969713 3392333217 4074389631 4361571279 6581706327 8462193849 9506909139 10176999651 12223168893 19745118981 25386581547 28520727417 30530998953 36669506679 59235356943 76159744641 85562182251 110008520037 177706070829 256686546753 330025560111 533118212487 770059640259 990076680333 2310178920777 6930536762331