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46013355331064 = 23112347947461109
BaseRepresentation
bin10100111011001010100011…
…01100110000110111111000
320000220211111211212200020222
422131211101230300313320
522012340322431043224
6241510124342235212
712456232561022162
oct1235452154606770
9200824454780228
1046013355331064
1113730177578410
1251b1843725b08
131c8a06b7cab04
14b510b5ccb932
1554bda63e4b5e
hex29d951b30df8

46013355331064 has 64 divisors (see below), whose sum is σ = 98415357696000. Its totient is φ = 19964040469120.

The previous prime is 46013355331043. The next prime is 46013355331081.

It is a happy number.

46013355331064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22761059 + ... + 24700050.

It is an arithmetic number, because the mean of its divisors is an integer number (1537739964000).

Almost surely, 246013355331064 is an apocalyptic number.

46013355331064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46013355331064 is an abundant number, since it is smaller than the sum of its proper divisors (52402002364936).

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

46013355331064 is a wasteful number, since it uses less digits than its factorization.

46013355331064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47461628 (or 47461624 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 44.

It can be divided in two parts, 4601335 and 5331064, that added together give a palindrome (9932399).

The spelling of 46013355331064 in words is "forty-six trillion, thirteen billion, three hundred fifty-five million, three hundred thirty-one thousand, sixty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 479 506 958 1012 1916 2024 3832 5269 10538 11017 21076 22034 42152 44068 88136 121187 242374 484748 969496 47461109 94922218 189844436 379688872 522072199 1044144398 1091605507 2088288796 2183211014 4176577592 4366422028 8732844056 12007660577 22733871211 24015321154 45467742422 48030642308 90935484844 96061284616 181870969688 250072583321 500145166642 522879037853 1000290333284 1045758075706 2000580666568 2091516151412 4183032302824 5751669416383 11503338832766 23006677665532 46013355331064