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46414748406 = 231317331105751
BaseRepresentation
bin101011001110100010…
…001101101011110110
311102210201112112000210
4223032202031223312
51230024133422111
633153405050250
73232125565125
oct531642155366
9142721475023
1046414748406
1118758a08504
128bb4256986
1344b9054890
1423644ddabc
151319c480a6
hexace88daf6

46414748406 has 64 divisors (see below), whose sum is σ = 106171623936. Its totient is φ = 13400640000.

The previous prime is 46414748399. The next prime is 46414748437. The reversal of 46414748406 is 60484741464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386031 + ... + 491781.

It is an arithmetic number, because the mean of its divisors is an integer number (1658931624).

Almost surely, 246414748406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46414748406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53085811968).

46414748406 is an abundant number, since it is smaller than the sum of its proper divisors (59756875530).

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

46414748406 is a wasteful number, since it uses less digits than its factorization.

46414748406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106117.

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 46414748406 in words is "forty-six billion, four hundred fourteen million, seven hundred forty-eight thousand, four hundred six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 331 442 662 663 993 1326 1986 4303 5627 8606 11254 12909 16881 25818 33762 73151 105751 146302 211502 219453 317253 438906 634506 1374763 1797767 2749526 3595534 4124289 5393301 8248578 10786602 23370971 35003581 46741942 70007162 70112913 105010743 140225826 210021486 455046553 595060877 910093106 1190121754 1365139659 1785182631 2730279318 3570365262 7735791401 15471582802 23207374203 46414748406