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46405278628164 = 2232832136792
BaseRepresentation
bin10101000110100100100100…
…01001011111100101000100
320002022022010122201000202100
422203102102021133211010
522040301002312100124
6242410142442512100
712526446031051341
oct1243222211374504
9202268118630670
1046405278628164
1113871406003335
1252557a1b05630
131cb7ccaa4b5c1
14b6605553b7c8
15557193be11c9
hex2a349225f944

46405278628164 has 81 divisors (see below), whose sum is σ = 118741220009503. Its totient is φ = 15280942437264.

The previous prime is 46405278628153. The next prime is 46405278628193. The reversal of 46405278628164 is 46182687250464.

It is a happy number.

The square root of 46405278628164 is 6812142.

It is a perfect power (a square), and thus also a powerful number.

46405278628164 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 527 + 86 + 28 + 1 + 6 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3392439877 + ... + 3392453555.

Almost surely, 246405278628164 is an apocalyptic number.

46405278628164 is the 6812142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46405278628164

46405278628164 is an abundant number, since it is smaller than the sum of its proper divisors (72335941381339).

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

46405278628164 is an frugal number, since it uses more digits than its factorization.

46405278628164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27534 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 46405278628164 in words is "forty-six trillion, four hundred five billion, two hundred seventy-eight million, six hundred twenty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 6889 13679 13778 20667 27358 27556 41037 41334 54716 62001 82074 82668 123111 124002 164148 246222 248004 492444 1135357 2270714 3406071 4541428 6812142 10218213 13624284 20436426 40872852 94234631 187115041 188469262 282703893 374230082 376938524 561345123 565407786 748460164 848111679 1122690246 1130815572 1684035369 1696223358 2245380492 3368070738 3392446716 6736141476 15530548403 31061096806 46591645209 62122193612 93183290418 139774935627 186366580836 279549871254 559099742508 1289035517449 2578071034898 3867106552347 5156142069796 7734213104694 11601319657041 15468426209388 23202639314082 46405278628164