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46406460464 = 24713171874857
BaseRepresentation
bin101011001110000010…
…100110010000110000
311102210010221110002222
4223032002212100300
51230020023213324
633152511300212
73231665256050
oct531602462060
9142703843088
1046406460464
1118754267671
128bb151a668
1344b7412380
142363383560
15131915c55e
hexace0a6430

46406460464 has 80 divisors (see below), whose sum is σ = 117171125568. Its totient is φ = 17278672896.

The previous prime is 46406460461. The next prime is 46406460511.

46406460464 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (46406460461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912677 + ... + 962180.

Almost surely, 246406460464 is an apocalyptic number.

It is an amenable number.

46406460464 is an abundant number, since it is smaller than the sum of its proper divisors (70764665104).

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

46406460464 is a wasteful number, since it uses less digits than its factorization.

46406460464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874902 (or 1874896 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 46406460464 in words is "forty-six billion, four hundred six million, four hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 208 221 238 272 364 442 476 728 884 952 1456 1547 1768 1904 3094 3536 6188 12376 24752 1874857 3749714 7499428 13123999 14998856 24373141 26247998 29997712 31872569 48746282 52495996 63745138 97492564 104991992 127490276 170611987 194985128 209983984 223107983 254980552 341223974 389970256 414343397 446215966 509961104 682447948 828686794 892431932 1364895896 1657373588 1784863864 2729791792 2900403779 3314747176 3569727728 5800807558 6629494352 11601615116 23203230232 46406460464