Search a number
-
+
1551633050100 = 2235271315640251
BaseRepresentation
bin10110100101000100100…
…010010110100111110100
312111100000222022211221110
4112211010202112213310
5200410221030100400
63144451013115020
7220046625212220
oct26450442264764
95440028284843
101551633050100
11549053451121
12210872928a70
13b341a5c1463
1455156c15780
152a5652bae50
hex169448969f4

1551633050100 has 144 divisors (see below), whose sum is σ = 5169900105216. Its totient is φ = 351951600000.

The previous prime is 1551633049991. The next prime is 1551633050141. The reversal of 1551633050100 is 10503361551.

It is a super-2 number, since 2×15516330501002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2545026 + ... + 3095225.

It is an arithmetic number, because the mean of its divisors is an integer number (35902084064).

Almost surely, 21551633050100 is an apocalyptic number.

1551633050100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1551633050100 is an abundant number, since it is smaller than the sum of its proper divisors (3618267055116).

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

1551633050100 is a wasteful number, since it uses less digits than its factorization.

1551633050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640406 (or 5640399 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The spelling of 1551633050100 in words is "one trillion, five hundred fifty-one billion, six hundred thirty-three million, fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 131 140 150 175 210 262 300 350 393 420 524 525 655 700 786 917 1050 1310 1572 1834 1965 2100 2620 2751 3275 3668 3930 4585 5502 6550 7860 9170 9825 11004 13100 13755 18340 19650 22925 27510 39300 45850 55020 68775 91700 137550 275100 5640251 11280502 16920753 22561004 28201255 33841506 39481757 56402510 67683012 78963514 84603765 112805020 118445271 141006275 157927028 169207530 197408785 236890542 282012550 338415060 394817570 423018825 473781084 564025100 592226355 738872881 789635140 846037650 987043925 1184452710 1477745762 1692075300 1974087850 2216618643 2368905420 2955491524 2961131775 3694364405 3948175700 4433237286 5172110167 5922263550 7388728810 8866474572 10344220334 11083093215 11844527100 14777457620 15516330501 18471822025 20688440668 22166186430 25860550835 31032661002 36943644050 44332372860 51721101670 55415466075 62065322004 73887288100 77581652505 103442203340 110830932150 129302754175 155163305010 221661864300 258605508350 310326610020 387908262525 517211016700 775816525050 1551633050100