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2421675413000 = 235319322356267
BaseRepresentation
bin100011001111010111000…
…110100100111000001000
322120111202201112021202222
4203033113012210320020
5304134042401204000
65052300300313212
7336650242243004
oct43172706447010
98514681467688
102421675413000
11854032701848
12331406242808
131474946c867c
14852d165d704
1542ed778aa85
hex233d71a4e08

2421675413000 has 128 divisors (see below), whose sum is σ = 5721726366720. Its totient is φ = 959312793600.

The previous prime is 2421675412999. The next prime is 2421675413021. The reversal of 2421675413000 is 3145761242.

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 31 ways as a sum of consecutive naturals, for example, 43010867 + ... + 43067133.

It is an arithmetic number, because the mean of its divisors is an integer number (44700987240).

Almost surely, 22421675413000 is an apocalyptic number.

2421675413000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421675413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860863183360).

2421675413000 is an abundant number, since it is smaller than the sum of its proper divisors (3300050953720).

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

2421675413000 is a wasteful number, since it uses less digits than its factorization.

2421675413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56704 (or 56690 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 2421675413000 in words is "two trillion, four hundred twenty-one billion, six hundred seventy-five million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 193 200 223 250 386 446 500 772 892 965 1000 1115 1544 1784 1930 2230 3860 4460 4825 5575 7720 8920 9650 11150 19300 22300 24125 27875 38600 43039 44600 48250 55750 56267 86078 96500 111500 112534 172156 193000 215195 223000 225068 281335 344312 430390 450136 562670 860780 1075975 1125340 1406675 1721560 2151950 2250680 2813350 4303900 5379875 5626700 7033375 8607800 10759750 10859531 11253400 12547541 14066750 21519500 21719062 25095082 28133500 43039000 43438124 50190164 54297655 56267000 62737705 86876248 100380328 108595310 125475410 217190620 250950820 271488275 313688525 434381240 501901640 542976550 627377050 1085953100 1254754100 1357441375 1568442625 2171906200 2421675413 2509508200 2714882750 3136885250 4843350826 5429765500 6273770500 9686701652 10859531000 12108377065 12547541000 19373403304 24216754130 48433508260 60541885325 96867016520 121083770650 242167541300 302709426625 484335082600 605418853250 1210837706500 2421675413000