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51106451240 = 235131135231663
BaseRepresentation
bin101111100110001011…
…101000111100101000
311212220200210201101102
4233212023220330220
51314131222414430
635251124340532
73456315445055
oct574613507450
9155820721342
1051106451240
111a746294269
129aa3544748
134a8606bbc0
14268b66c02c
1514e1aa2345
hexbe62e8f28

51106451240 has 128 divisors (see below), whose sum is σ = 125244887040. Its totient is φ = 18656096256.

The previous prime is 51106451239. The next prime is 51106451273. The reversal of 51106451240 is 4215460115.

It is a super-2 number, since 2×511064512402 (a number of 22 digits) contains 22 as substring.

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, 30730649 + ... + 30732311.

It is an arithmetic number, because the mean of its divisors is an integer number (978475680).

Almost surely, 251106451240 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 51106451240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62622443520).

51106451240 is an abundant number, since it is smaller than the sum of its proper divisors (74138435800).

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

51106451240 is a wasteful number, since it uses less digits than its factorization.

51106451240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 51106451240 in words is "fifty-one billion, one hundred six million, four hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 226 260 452 520 523 565 904 1046 1130 1469 1663 2092 2260 2615 2938 3326 4184 4520 5230 5876 6652 6799 7345 8315 10460 11752 13304 13598 14690 16630 20920 21619 27196 29380 33260 33995 43238 54392 58760 59099 66520 67990 86476 108095 118198 135980 172952 187919 216190 236396 271960 295495 375838 432380 472792 590990 751676 768287 864760 869749 939595 1181980 1503352 1536574 1739498 1879190 2363960 2442947 3073148 3478996 3758380 3841435 4348745 4885894 6146296 6957992 7516760 7682870 8697490 9771788 11306737 12214735 15365740 17394980 19543576 22613474 24429470 30731480 34789960 45226948 48858940 56533685 90453896 97717880 98281637 113067370 196563274 226134740 393126548 452269480 491408185 786253096 982816370 1277661281 1965632740 2555322562 3931265480 5110645124 6388306405 10221290248 12776612810 25553225620 51106451240