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46021165056006 = 23779138110043557
BaseRepresentation
bin10100111011011001000110…
…01100100000000000000110
320000221120200010020210211220
422131230203030200000012
522013002321223243011
6241513455323541210
712456630241420440
oct1235544314400006
9200846603223756
1046021165056006
11137335149a5348
1251b326308a806
131c8aa147b022a
14b516171c5490
1554c1b1d57506
hex29db23320006

46021165056006 has 64 divisors (see below), whose sum is σ = 106599914158080. Its totient is φ = 12973060414080.

The previous prime is 46021165055989. The next prime is 46021165056073. The reversal of 46021165056006 is 60065056112064.

It is a super-2 number, since 2×460211650560062 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439621 + ... + 9603936.

It is an arithmetic number, because the mean of its divisors is an integer number (1665623658720).

Almost surely, 246021165056006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46021165056006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53299957079040).

46021165056006 is an abundant number, since it is smaller than the sum of its proper divisors (60578749102074).

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

46021165056006 is a wasteful number, since it uses less digits than its factorization.

46021165056006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045029.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 46021165056006 in words is "forty-six trillion, twenty-one billion, one hundred sixty-five million, fifty-six thousand, six".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 474 553 1106 1381 1659 2762 3318 4143 8286 9667 19334 29001 58002 109099 218198 327297 654594 763693 1527386 2291079 4582158 10043557 20087114 30130671 60261342 70304899 140609798 210914697 421829394 793441003 1586882006 2380323009 4760646018 5554087021 11108174042 13870152217 16662261063 27740304434 33324522126 41610456651 83220913302 97091065519 194182131038 291273196557 582546393114 1095742025143 2191484050286 3287226075429 6574452150858 7670194176001 15340388352002 23010582528003 46021165056006