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2421563004 = 2232723537883
BaseRepresentation
bin1001000001010110…
…0001111001111100
320020202121010221200
42100111201321330
514424410004004
61040142255500
7114002642310
oct22025417174
96222533850
102421563004
111032a00143
12576b87590
132c78c8623
1418d873b40
15e28d5239
hex90561e7c

2421563004 has 144 divisors (see below), whose sum is σ = 7438459392. Its totient is φ = 649224576.

The previous prime is 2421562973. The next prime is 2421563029. The reversal of 2421563004 is 4003651242.

2421563004 is a `hidden beast` number, since 2 + 4 + 21 + 5 + 630 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303247 + ... + 311129.

It is an arithmetic number, because the mean of its divisors is an integer number (51655968).

Almost surely, 22421563004 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 2421563004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719229696).

2421563004 is an abundant number, since it is smaller than the sum of its proper divisors (5016896388).

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

2421563004 is a wasteful number, since it uses less digits than its factorization.

2421563004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2421563004 is about 49209.3792279480. The cubic root of 2421563004 is about 1342.8636693576.

The spelling of 2421563004 in words is "two billion, four hundred twenty-one million, five hundred sixty-three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 53 63 69 84 92 106 126 138 159 161 207 212 252 276 318 322 371 414 477 483 636 644 742 828 954 966 1113 1219 1449 1484 1908 1932 2226 2438 2898 3339 3657 4452 4876 5796 6678 7314 7883 8533 10971 13356 14628 15766 17066 21942 23649 25599 31532 34132 43884 47298 51198 55181 70947 76797 94596 102396 110362 141894 153594 165543 181309 220724 283788 307188 331086 362618 417799 496629 543927 662172 725236 835598 993258 1087854 1253397 1269163 1631781 1671196 1986516 2175708 2506794 2538326 2924593 3263562 3760191 3807489 5013588 5076652 5849186 6527124 7520382 7614978 8773779 9609377 11422467 11698372 15040764 15229956 17547558 19218754 22844934 26321337 28828131 35095116 38437508 45689868 52642674 57656262 67265639 86484393 105285348 115312524 134531278 172968786 201796917 269062556 345937572 403593834 605390751 807187668 1210781502 2421563004