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51011010084 = 2231710711320681
BaseRepresentation
bin101111100000011111…
…100011111000100100
311212200001012210201210
4233200133203320210
51313432304310314
635233434551420
73454046301006
oct574037437044
9155601183653
1051011010084
111a6a7426981
129a77598570
134a6c363448
14267cb06376
1514d84ed559
hexbe07e3e24

51011010084 has 96 divisors (see below), whose sum is σ = 128336939136. Its totient is φ = 15712829440.

The previous prime is 51011010079. The next prime is 51011010097. The reversal of 51011010084 is 48001011015.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 51011010084.

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 31 ways as a sum of consecutive naturals, for example, 2456224 + ... + 2476904.

It is an arithmetic number, because the mean of its divisors is an integer number (1336843116).

Almost surely, 251011010084 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 51011010084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64168469568).

51011010084 is an abundant number, since it is smaller than the sum of its proper divisors (77325929052).

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

51011010084 is a wasteful number, since it uses less digits than its factorization.

51011010084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20925 (or 20923 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 51011010084 its reverse (48001011015), we get a palindrome (99012021099).

The spelling of 51011010084 in words is "fifty-one billion, eleven million, ten thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 107 113 204 214 226 321 339 428 452 642 678 1284 1356 1819 1921 3638 3842 5457 5763 7276 7684 10914 11526 12091 20681 21828 23052 24182 36273 41362 48364 62043 72546 82724 124086 145092 205547 248172 351577 411094 616641 703154 822188 1054731 1233282 1406308 2109462 2212867 2336953 2466564 4218924 4425734 4673906 6638601 7010859 8851468 9347812 13277202 14021718 26554404 28043436 37618739 39728201 75237478 79456402 112856217 119184603 150474956 158912804 225712434 238369206 250053971 451424868 476738412 500107942 750161913 1000215884 1500323826 3000647652 4250917507 8501835014 12752752521 17003670028 25505505042 51011010084