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46991506640 = 24513371221193
BaseRepresentation
bin101011110000111010…
…010111110011010000
311111021220210212120212
4223300322113303100
51232214311203030
633330531023252
73252331134041
oct536072276320
9144256725525
1046991506640
1118a24531501
12913543ab28
13457b6a3640
1423bad568c8
1513506c4595
hexaf0e97cd0

46991506640 has 80 divisors (see below), whose sum is σ = 120839588688. Its totient is φ = 16881758208.

The previous prime is 46991506571. The next prime is 46991506651. The reversal of 46991506640 is 4660519964.

It can be written as a sum of positive squares in 8 ways, for example, as 27415696 + 46964090944 = 5236^2 + 216712^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572117 + ... + 649076.

Almost surely, 246991506640 is an apocalyptic number.

46991506640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46991506640 is an abundant number, since it is smaller than the sum of its proper divisors (73848082048).

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

46991506640 is a wasteful number, since it uses less digits than its factorization.

46991506640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221256 (or 1221250 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The spelling of 46991506640 in words is "forty-six billion, nine hundred ninety-one million, five hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9620 19240 38480 1221193 2442386 4884772 6105965 9769544 12211930 15875509 19539088 24423860 31751018 45184141 48847720 63502036 79377545 90368282 97695440 127004072 158755090 180736564 225920705 254008144 317510180 361473128 451841410 587393833 635020360 722946256 903682820 1174787666 1270040720 1807365640 2349575332 2936969165 3614731280 4699150664 5873938330 9398301328 11747876660 23495753320 46991506640