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40757375076 = 223111924319891
BaseRepresentation
bin100101111101010101…
…000011000001100100
310220012110012011210020
4211331111003001210
51131432342000301
630420151555140
72642001654255
oct457525030144
9126173164706
1040757375076
1116315526160
127a9568bab0
133ac6c5cbb2
141d88ddcb2c
1510d823e436
hex97d543064

40757375076 has 144 divisors (see below), whose sum is σ = 112045747968. Its totient is φ = 11427998400.

The previous prime is 40757375063. The next prime is 40757375137. The reversal of 40757375076 is 67057375704.

It is a super-2 number, since 2×407573750762 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2039091 + ... + 2058981.

It is an arithmetic number, because the mean of its divisors is an integer number (778095472).

Almost surely, 240757375076 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 40757375076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56022873984).

40757375076 is an abundant number, since it is smaller than the sum of its proper divisors (71288372892).

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

40757375076 is a wasteful number, since it uses less digits than its factorization.

40757375076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19990 (or 19969 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 51.

The spelling of 40757375076 in words is "forty billion, seven hundred fifty-seven million, three hundred seventy-five thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 43 44 57 66 76 86 114 129 132 172 209 228 258 361 418 473 516 627 722 817 836 946 1083 1254 1419 1444 1634 1892 2166 2451 2508 2838 3268 3971 4332 4902 5676 7942 8987 9804 11913 15523 15884 17974 19891 23826 26961 31046 35948 39782 46569 47652 53922 59673 62092 79564 93138 107844 119346 170753 186276 218801 238692 341506 377929 437602 512259 656403 683012 755858 855313 875204 1024518 1133787 1312806 1511716 1710626 2049036 2267574 2565939 2625612 3421252 4157219 4535148 5131878 7180651 8314438 9408443 10263756 12471657 14361302 16250947 16628876 18816886 21541953 24943314 28225329 28722604 32501894 37633772 43083906 48752841 49886628 56450658 65003788 78987161 86167812 97505682 112901316 157974322 178760417 195011364 236961483 308767993 315948644 357520834 473922966 536281251 617535986 715041668 926303979 947845932 1072562502 1235071972 1852607958 2145125004 3396447923 3705215916 6792895846 10189343769 13585791692 20378687538 40757375076