Search a number
-
+
61671621000 = 23353111868837
BaseRepresentation
bin111001011011111010…
…100100000110001000
312220012000000221200010
4321123322210012020
52002300413333000
644155340511520
74312165062213
oct713372440610
9186160027603
1061671621000
1124178027720
12bb5184b5a0
135a7ab7b542
142db08ac77a
15190e39cd50
hexe5bea4188

61671621000 has 128 divisors (see below), whose sum is σ = 209907884160. Its totient is φ = 14950688000.

The previous prime is 61671620993. The next prime is 61671621007. The reversal of 61671621000 is 12617616.

It is an interprime number because it is at equal distance from previous prime (61671620993) and next prime (61671621007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (61671621007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901419 + ... + 967418.

It is an arithmetic number, because the mean of its divisors is an integer number (1639905345).

Almost surely, 261671621000 is an apocalyptic number.

61671621000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61671621000 is an abundant number, since it is smaller than the sum of its proper divisors (148236263160).

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

61671621000 is a wasteful number, since it uses less digits than its factorization.

61671621000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868872 (or 1868858 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 61671621000 in words is "sixty-one billion, six hundred seventy-one million, six hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 1868837 3737674 5606511 7475348 9344185 11213022 14950696 18688370 20557207 22426044 28032555 37376740 41114414 44852088 46720925 56065110 61671621 74753480 82228828 93441850 102786035 112130220 123343242 140162775 164457656 186883700 205572070 224260440 233604625 246686484 280325550 308358105 373767400 411144140 467209250 493372968 513930175 560651100 616716210 700813875 822288280 934418500 1027860350 1121302200 1233432420 1401627750 1541790525 1868837000 2055720700 2466864840 2569650875 2803255500 3083581050 4111441400 5139301750 5606511000 6167162100 7708952625 10278603500 12334324200 15417905250 20557207000 30835810500 61671621000