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50101331616 = 2532754745433
BaseRepresentation
bin101110101010010001…
…011010011010100000
311210022122111100110200
4232222101122122200
51310101420102431
635003301225200
73422362202130
oct565221323240
9153278440420
1050101331616
111a27a993a96
129862a02200
134955a5b66b
1425d3d8aac0
15148370dee6
hexbaa45a6a0

50101331616 has 144 divisors (see below), whose sum is σ = 163130595264. Its totient is φ = 14288182272.

The previous prime is 50101331611. The next prime is 50101331617. The reversal of 50101331616 is 61613310105.

50101331616 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 13 + 31 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 50101331616.

It is not an unprimeable number, because it can be changed into a prime (50101331611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080036 + ... + 1125468.

It is an arithmetic number, because the mean of its divisors is an integer number (1132851356).

Almost surely, 250101331616 is an apocalyptic number.

50101331616 is a gapful number since it is divisible by the number (56) 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 50101331616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81565297632).

50101331616 is an abundant number, since it is smaller than the sum of its proper divisors (113029263648).

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

50101331616 is a wasteful number, since it uses less digits than its factorization.

50101331616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46003 (or 45992 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 50101331616 in words is "fifty billion, one hundred one million, three hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 547 672 1008 1094 1641 2016 2188 3282 3829 4376 4923 6564 7658 8752 9846 11487 13128 15316 17504 19692 22974 26256 30632 34461 39384 45433 45948 52512 61264 68922 78768 90866 91896 122528 136299 137844 157536 181732 183792 272598 275688 318031 363464 367584 408897 545196 551376 636062 726928 817794 954093 1090392 1102752 1272124 1453856 1635588 1908186 2180784 2544248 2862279 3271176 3816372 4361568 5088496 5724558 6542352 7632744 10176992 11449116 13084704 15265488 22898232 24851851 30530976 45796464 49703702 74555553 91592928 99407404 149111106 173962957 198814808 223666659 298222212 347925914 397629616 447333318 521888871 596444424 695851828 795259232 894666636 1043777742 1192888848 1391703656 1565666613 1789333272 2087555484 2385777696 2783407312 3131333226 3578666544 4175110968 5566814624 6262666452 7157333088 8350221936 12525332904 16700443872 25050665808 50101331616