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5153663004 = 2237243317643
BaseRepresentation
bin1001100110010111…
…01010100000011100
3111022011112012120120
410303023222200130
541023314204004
62211220514540
7241466261400
oct46313524034
914264465516
105153663004
112205121326
12bb9b4ba50
13641940b49
1436c661100
152026ab3d9
hex1332ea81c

5153663004 has 144 divisors (see below), whose sum is σ = 14381313408. Its totient is φ = 1431464832.

The previous prime is 5153662991. The next prime is 5153663017. The reversal of 5153663004 is 4003663515.

It is an interprime number because it is at equal distance from previous prime (5153662991) and next prime (5153663017).

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, 8014707 + ... + 8015349.

It is an arithmetic number, because the mean of its divisors is an integer number (99870232).

Almost surely, 25153663004 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 5153663004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7190656704).

5153663004 is an abundant number, since it is smaller than the sum of its proper divisors (9227650404).

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

5153663004 is a wasteful number, since it uses less digits than its factorization.

5153663004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 5153663004 is about 71789.0172937337. The cubic root of 5153663004 is about 1727.3168341229.

The spelling of 5153663004 in words is "five billion, one hundred fifty-three million, six hundred sixty-three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 317 516 588 602 634 643 903 951 1204 1268 1286 1806 1902 1929 2107 2219 2572 3612 3804 3858 4214 4438 4501 6321 6657 7716 8428 8876 9002 12642 13314 13503 13631 15533 18004 25284 26628 27006 27262 27649 31066 31507 40893 46599 54012 54524 55298 62132 63014 81786 82947 93198 94521 95417 110596 126028 163572 165894 186396 189042 190834 193543 203831 286251 331788 378084 381668 387086 407662 572502 580629 611493 667919 774172 815324 1145004 1161258 1222986 1335838 1354801 1426817 2003757 2322516 2445972 2671676 2709602 2853634 4007514 4064403 4280451 5419204 5707268 8015028 8128806 8560902 8764733 9987719 16257612 17121804 17529466 19975438 26294199 29963157 35058932 39950876 52588398 59926314 61353131 105176796 119852628 122706262 184059393 245412524 368118786 429471917 736237572 858943834 1288415751 1717887668 2576831502 5153663004