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46452321216132 = 223131513510756171
BaseRepresentation
bin10101000111111100001100…
…00110101110011010000100
320002110210120010122002202020
422203332012012232122010
522042033323212404012
6242443522440443140
712533032552335516
oct1243760606563204
9202423503562666
1046452321216132
111388a356353a07
1252629304794b0
131cbc586b98580
14b6843918dbb6
155584e8b05a8c
hex2a3f861ae684

46452321216132 has 96 divisors (see below), whose sum is σ = 117504806544384. Its totient is φ = 14197708944000.

The previous prime is 46452321216073. The next prime is 46452321216139. The reversal of 46452321216132 is 23161212325464.

It is not an unprimeable number, because it can be changed into a prime (46452321216139) 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, 826952407 + ... + 827008577.

It is an arithmetic number, because the mean of its divisors is an integer number (1224008401504).

Almost surely, 246452321216132 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 46452321216132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752403272192).

46452321216132 is an abundant number, since it is smaller than the sum of its proper divisors (71052485328252).

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

46452321216132 is a wasteful number, since it uses less digits than its factorization.

46452321216132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91449 (or 91447 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 46452321216132 in words is "forty-six trillion, four hundred fifty-two billion, three hundred twenty-one million, two hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1812 1963 3926 5889 7852 11778 23556 35107 56171 70214 105321 112342 140428 168513 210642 224684 337026 421284 456391 674052 730223 912782 1369173 1460446 1825564 2190669 2738346 2920892 4381338 5301157 5476692 8481821 8762676 10602314 15903471 16963642 21204628 25445463 31806942 33927284 50890926 63613884 68915041 101781852 110263673 137830082 206745123 220527346 275660164 330791019 413490246 441054692 661582038 826980492 1323164076 1971995297 3943990594 5915985891 7887981188 11831971782 23663943564 25635938861 51271877722 76907816583 102543755444 153815633166 297771289847 307631266332 595542579694 893313869541 1191085159388 1786627739082 3573255478164 3871026768011 7742053536022 11613080304033 15484107072044 23226160608066 46452321216132