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6601634879466 = 23112171074998989
BaseRepresentation
bin110000000010001000000…
…0110100001011111101010
3212101002222021201002101210
41200010100012201133222
51331130122012120331
622012425454253550
71250644444416504
oct140042006413752
925332867632353
106601634879466
112115812870100
128a75361b72b6
1338b6ba915cb3
1418b741246d74
15b6acc5e4446
hex601101a17ea

6601634879466 has 96 divisors (see below), whose sum is σ = 15509986349760. Its totient is φ = 1865222402560.

The previous prime is 6601634879453. The next prime is 6601634879503. The reversal of 6601634879466 is 6649784361066.

It is a super-3 number, since 3×66016348794663 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6601634879397 and 6601634879406.

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, 1178901 + ... + 3820088.

It is an arithmetic number, because the mean of its divisors is an integer number (161562357810).

Almost surely, 26601634879466 is an apocalyptic number.

6601634879466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6601634879466 is an abundant number, since it is smaller than the sum of its proper divisors (8908351470294).

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

6601634879466 is a wasteful number, since it uses less digits than its factorization.

6601634879466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999140 (or 4999129 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 66.

The spelling of 6601634879466 in words is "six trillion, six hundred one billion, six hundred thirty-four million, eight hundred seventy-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 107 121 187 214 242 321 363 374 561 642 726 1122 1177 1819 2057 2354 3531 3638 4114 5457 6171 7062 10914 12342 12947 20009 25894 38841 40018 60027 77682 120054 220099 440198 660297 1320594 4998989 9997978 14996967 29993934 54988879 84982813 109977758 164966637 169965626 254948439 329933274 509896878 534891823 604877669 934810943 1069783646 1209755338 1604675469 1814633007 1869621886 2804432829 3209350938 3629266014 5608865658 5883810053 9093160991 10282920373 11767620106 17651430159 18186321982 20565840746 27279482973 30848761119 35302860318 54558965946 61697522238 64721910583 100024770901 129443821166 194165731749 200049541802 300074312703 388331463498 600148625406 1100272479911 2200544959822 3300817439733 6601634879466