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5558315004 = 22321131538543
BaseRepresentation
bin1010010110100110…
…10010011111111100
3112100100221122202200
411023103102133330
542340412040004
62315313551500
7254511620004
oct51323223774
915310848680
105558315004
1123a2584370
1210b1575590
136a77209b8
143aa2b7004
15227e8d239
hex14b4d27fc

5558315004 has 144 divisors (see below), whose sum is σ = 16122322944. Its totient is φ = 1599062400.

The previous prime is 5558314999. The next prime is 5558315027. The reversal of 5558315004 is 4005138555.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5558315004.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 646357 + ... + 654899.

It is an arithmetic number, because the mean of its divisors is an integer number (111960576).

Almost surely, 25558315004 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 5558315004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061161472).

5558315004 is an abundant number, since it is smaller than the sum of its proper divisors (10564007940).

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

5558315004 is a wasteful number, since it uses less digits than its factorization.

5558315004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8648 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 5558315004 is about 74554.1078948706. The cubic root of 5558315004 is about 1771.3908019213.

The spelling of 5558315004 in words is "five billion, five hundred fifty-eight million, three hundred fifteen thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 53 62 66 93 99 106 124 132 159 186 198 212 279 318 341 372 396 477 558 583 636 682 954 1023 1116 1166 1364 1643 1749 1908 2046 2332 3069 3286 3498 4092 4929 5247 6138 6572 6996 8543 9858 10494 12276 14787 17086 18073 19716 20988 25629 29574 34172 36146 51258 54219 59148 72292 76887 93973 102516 108438 153774 162657 187946 216876 264833 281919 307548 325314 375892 452779 529666 563838 650628 794499 845757 905558 1059332 1127676 1358337 1588998 1691514 1811116 2383497 2716674 2913163 3177996 3383028 4075011 4766994 4980569 5433348 5826326 8150022 8739489 9533988 9961138 11652652 14036149 14941707 16300044 17478978 19922276 26218467 28072298 29883414 34957956 42108447 44825121 52436934 56144596 59766828 84216894 89650242 104873868 126325341 154397639 168433788 179300484 252650682 308795278 463192917 505301364 617590556 926385834 1389578751 1852771668 2779157502 5558315004