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50011005006 = 232232931134371
BaseRepresentation
bin101110100100111000…
…110110000001001110
311210002100112021122200
4232210320312001032
51304410304130011
634550313222330
73420214346214
oct564470660116
9153070467580
1050011005006
111a2339aa2a6
1298387019a6
134940123b71
1425c5d96cb4
15147a81a856
hexba4e3604e

50011005006 has 96 divisors (see below), whose sum is σ = 120741304320. Its totient is φ = 14898945600.

The previous prime is 50011004993. The next prime is 50011005041. The reversal of 50011005006 is 60050011005.

50011005006 is a `hidden beast` number, since 50 + 0 + 110 + 0 + 500 + 6 = 666.

It is a super-2 number, since 2×500110050062 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 50011005006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305001 + ... + 439371.

It is an arithmetic number, because the mean of its divisors is an integer number (1257721920).

Almost surely, 250011005006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50011005006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60370652160).

50011005006 is an abundant number, since it is smaller than the sum of its proper divisors (70730299314).

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

50011005006 is a wasteful number, since it uses less digits than its factorization.

50011005006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134462 (or 134459 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 50011005006 in words is "fifty billion, eleven million, five thousand, six".

Divisors: 1 2 3 6 9 18 23 29 31 46 58 62 69 87 93 138 174 186 207 261 279 414 522 558 667 713 899 1334 1426 1798 2001 2139 2697 4002 4278 5394 6003 6417 8091 12006 12834 16182 20677 41354 62031 124062 134371 186093 268742 372186 403113 806226 1209339 2418678 3090533 3896759 4165501 6181066 7793518 8331002 9271599 11690277 12496503 18543198 23380554 24993006 27814797 35070831 37489509 55629594 70141662 74979018 89625457 95806523 120799529 179250914 191613046 241599058 268876371 287419569 362398587 537752742 574839138 724797174 806629113 862258707 1087195761 1613258226 1724517414 2174391522 2778389167 5556778334 8335167501 16670335002 25005502503 50011005006