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4961511036 = 2233139349947
BaseRepresentation
bin1001001111011101…
…01010011001111100
3110210202221212122000
410213232222121330
540130121323121
62140154222300
7233644101516
oct44756523174
913722855560
104961511036
112116709749
12b65724990
13610ba3a61
14350d22bb6
151e08a2526
hex127baa67c

4961511036 has 96 divisors (see below), whose sum is σ = 13006560000. Its totient is φ = 1635505344.

The previous prime is 4961511029. The next prime is 4961511053. The reversal of 4961511036 is 6301151694.

4961511036 is a `hidden beast` number, since 4 + 9 + 615 + 1 + 1 + 0 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 5238715 + ... + 5239661.

It is an arithmetic number, because the mean of its divisors is an integer number (135485000).

Almost surely, 24961511036 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 4961511036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503280000).

4961511036 is an abundant number, since it is smaller than the sum of its proper divisors (8045048964).

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

4961511036 is a wasteful number, since it uses less digits than its factorization.

4961511036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4961511036 is about 70437.9942644593. The cubic root of 4961511036 is about 1705.5769596196.

The spelling of 4961511036 in words is "four billion, nine hundred sixty-one million, five hundred eleven thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 349 417 556 698 834 947 1047 1251 1396 1668 1894 2094 2502 2841 3141 3753 3788 4188 5004 5682 6282 7506 8523 9423 11364 12564 15012 17046 18846 25569 34092 37692 48511 51138 97022 102276 131633 145533 194044 263266 291066 330503 394899 436599 526532 582132 661006 789798 873198 991509 1184697 1309797 1322012 1579596 1746396 1983018 2369394 2619594 2974527 3554091 3966036 4738788 5239188 5949054 7108182 8923581 11898108 14216364 17847162 35694324 45939917 91879834 137819751 183759668 275639502 413459253 551279004 826918506 1240377759 1653837012 2480755518 4961511036