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5556005000 = 235471312211
BaseRepresentation
bin1010010110010100…
…11110100010001000
3112100012121022000222
411023022132202020
542334314130000
62315152245212
7254453156210
oct51312364210
915305538028
105556005000
1123a1246877
1210b0840808
136a70c2430
143a9c75240
15227b83a85
hex14b29e888

5556005000 has 160 divisors (see below), whose sum is σ = 16023120960. Its totient is φ = 1758240000.

The previous prime is 5556004969. The next prime is 5556005027. The reversal of 5556005000 is 5006555.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 448895 + ... + 461105.

It is an arithmetic number, because the mean of its divisors is an integer number (100144506).

Almost surely, 25556005000 is an apocalyptic number.

5556005000 is a gapful number since it is divisible by the number (50) 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 5556005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8011560480).

5556005000 is an abundant number, since it is smaller than the sum of its proper divisors (10467115960).

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

5556005000 is a wasteful number, since it uses less digits than its factorization.

5556005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12257 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 5556005000 is about 74538.6141540075. The cubic root of 5556005000 is about 1771.1453746155.

The spelling of 5556005000 in words is "five billion, five hundred fifty-six million, five thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 625 650 700 728 875 910 1000 1250 1300 1400 1625 1750 1820 2275 2500 2600 3250 3500 3640 4375 4550 5000 6500 7000 8125 8750 9100 11375 12211 13000 16250 17500 18200 22750 24422 32500 35000 45500 48844 56875 61055 65000 85477 91000 97688 113750 122110 158743 170954 227500 244220 305275 317486 341908 427385 455000 488440 610550 634972 683816 793715 854770 1111201 1221100 1269944 1526375 1587430 1709540 2136925 2222402 2442200 3052750 3174860 3419080 3968575 4273850 4444804 5556005 6105500 6349720 7631875 7937150 8547700 8889608 10684625 11112010 12211000 15263750 15874300 17095400 19842875 21369250 22224020 27780025 30527500 31748600 39685750 42738500 44448040 53423125 55560050 61055000 79371500 85477000 99214375 106846250 111120100 138900125 158743000 198428750 213692500 222240200 277800250 396857500 427385000 555600500 694500625 793715000 1111201000 1389001250 2778002500 5556005000