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41970054330 = 232510911337861
BaseRepresentation
bin100111000101100111…
…000011010010111010
311000022222001122222200
4213011213003102322
51141423313214310
631140351531030
73014025401301
oct470547032272
9130288048880
1041970054330
1116888002016
128173829a76
133c5b273599
1420620ad438
1511599319c0
hex9c59c34ba

41970054330 has 96 divisors (see below), whose sum is σ = 111100738320. Its totient is φ = 10990909440.

The previous prime is 41970054299. The next prime is 41970054361. The reversal of 41970054330 is 3345007914.

41970054330 is a `hidden beast` number, since 4 + 19 + 70 + 0 + 543 + 30 = 666.

41970054330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41970054299) and next prime (41970054361).

It can be written as a sum of positive squares in 8 ways, for example, as 21811449969 + 20158604361 = 147687^2 + 141981^2 .

It is a super-2 number, since 2×419700543302 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 3.

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, 1089600 + ... + 1127460.

Almost surely, 241970054330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41970054330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55550369160).

41970054330 is an abundant number, since it is smaller than the sum of its proper divisors (69130683990).

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

41970054330 is a wasteful number, since it uses less digits than its factorization.

41970054330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38096 (or 38093 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 41970054330 in words is "forty-one billion, nine hundred seventy million, fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 113 218 226 327 339 545 565 654 678 981 1017 1090 1130 1635 1695 1962 2034 3270 3390 4905 5085 9810 10170 12317 24634 36951 37861 61585 73902 75722 110853 113583 123170 184755 189305 221706 227166 340749 369510 378610 554265 567915 681498 1108530 1135830 1703745 3407490 4126849 4278293 8253698 8556586 12380547 12834879 20634245 21391465 24761094 25669758 37141641 38504637 41268490 42782930 61902735 64174395 74283282 77009274 123805470 128348790 185708205 192523185 371416410 385046370 466333937 932667874 1399001811 2331669685 2798003622 4197005433 4663339370 6995009055 8394010866 13990018110 20985027165 41970054330