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45946232290 = 257443191233
BaseRepresentation
bin101010110010100110…
…111101110111100010
311101121001221102202001
4222302212331313202
51223044213413130
633035111114214
73214406350000
oct526246756742
9141531842661
1045946232290
11185384a5402
128aa337296a
134442c73cca
14231c1c1a70
1512dda4d6ca
hexab29bdde2

45946232290 has 160 divisors (see below), whose sum is σ = 99667915776. Its totient is φ = 15240395520.

The previous prime is 45946232281. The next prime is 45946232309. The reversal of 45946232290 is 9223264954.

It is a super-2 number, since 2×459462322902 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45946232290.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197194014 + ... + 197194246.

Almost surely, 245946232290 is an apocalyptic number.

45946232290 is an abundant number, since it is smaller than the sum of its proper divisors (53721683486).

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

45946232290 is a wasteful number, since it uses less digits than its factorization.

45946232290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 45946232290 in words is "forty-five billion, nine hundred forty-six million, two hundred thirty-two thousand, two hundred ninety".

Divisors: 1 2 5 7 10 14 35 43 49 70 86 98 191 215 233 245 301 343 382 430 466 490 602 686 955 1165 1337 1505 1631 1715 1910 2107 2330 2401 2674 3010 3262 3430 4214 4802 6685 8155 8213 9359 10019 10535 11417 12005 13370 14749 16310 16426 18718 20038 21070 22834 24010 29498 41065 44503 46795 50095 57085 57491 65513 70133 73745 79919 82130 89006 93590 100190 103243 114170 114982 131026 140266 147490 159838 206486 222515 287455 311521 327565 350665 399595 402437 445030 458591 490931 516215 559433 574910 623042 655130 701330 799190 804874 917182 981862 1032430 1118866 1557605 1913629 2012185 2180647 2292955 2454655 2797165 2817059 3115210 3436517 3827258 4024370 4361294 4585910 4909310 5594330 5634118 6873034 9568145 10903235 13395403 14085295 15264529 17182585 19136290 19719413 21806470 24055619 26790806 28170590 30529058 34365170 39438826 48111238 66977015 76322645 93767821 98597065 106851703 120278095 133954030 152645290 187535642 197194130 213703406 240556190 468839105 534258515 656374747 937678210 1068517030 1312749494 3281873735 4594623229 6563747470 9189246458 22973116145 45946232290