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2421698472 = 233453107659
BaseRepresentation
bin1001000001011000…
…0010111110101000
320020202212000210000
42100112002332220
514424423322342
61040145223000
7114004045254
oct22026027650
96222760700
102421698472
111032a929a6
12577031a60
132c794519b
1418d8ab264
15e291044c
hex90582fa8

2421698472 has 160 divisors (see below), whose sum is σ = 6986152800. Its totient is φ = 783409536.

The previous prime is 2421698471. The next prime is 2421698473. The reversal of 2421698472 is 2748961242.

It is an interprime number because it is at equal distance from previous prime (2421698471) and next prime (2421698473).

It is not an unprimeable number, because it can be changed into a prime (2421698471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3674479 + ... + 3675137.

It is an arithmetic number, because the mean of its divisors is an integer number (43663455).

Almost surely, 22421698472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421698472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493076400).

2421698472 is an abundant number, since it is smaller than the sum of its proper divisors (4564454328).

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

2421698472 is a wasteful number, since it uses less digits than its factorization.

2421698472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 824 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2421698472 is about 49210.7556536170. The cubic root of 2421698472 is about 1342.8887098876. Note that the first 3 decimals are identical.

The spelling of 2421698472 in words is "two billion, four hundred twenty-one million, six hundred ninety-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 107 108 159 162 212 214 216 318 321 324 424 428 477 636 642 648 659 856 954 963 1272 1284 1318 1431 1908 1926 1977 2568 2636 2862 2889 3816 3852 3954 4293 5272 5671 5724 5778 5931 7704 7908 8586 8667 11342 11448 11556 11862 15816 17013 17172 17334 17793 22684 23112 23724 34026 34344 34668 34927 35586 45368 47448 51039 53379 68052 69336 69854 70513 71172 102078 104781 106758 136104 139708 141026 142344 153117 204156 209562 211539 213516 279416 282052 306234 314343 408312 419124 423078 427032 459351 564104 612468 628686 634617 838248 846156 918702 943029 1224936 1257372 1269234 1692312 1837404 1886058 1903851 2514744 2538468 2829087 3674808 3737189 3772116 3807702 5076936 5658174 5711553 7474378 7544232 7615404 11211567 11316348 11423106 14948756 15230808 22423134 22632696 22846212 29897512 33634701 44846268 45692424 67269402 89692536 100904103 134538804 201808206 269077608 302712309 403616412 605424618 807232824 1210849236 2421698472