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541055026650 = 235219239379333
BaseRepresentation
bin1111101111110010110…
…01001000010111011010
31220201120001111011020010
413313321121020113122
532331040041323100
61052320210542350
754042563562525
oct7677131102732
91821501434203
10541055026650
11199507503696
1288a3a2979b6
133c037965858
141c289983bbc
15e11a06a750
hex7df96485da

541055026650 has 96 divisors (see below), whose sum is σ = 1413046434240. Its totient is φ = 136628743680.

The previous prime is 541055026649. The next prime is 541055026651. The reversal of 541055026650 is 56620550145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (541055026649) and next prime (541055026651).

It is a junction number, because it is equal to n+sod(n) for n = 541055026599 and 541055026608.

It is not an unprimeable number, because it can be changed into a prime (541055026651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6780384 + ... + 6859716.

It is an arithmetic number, because the mean of its divisors is an integer number (14719233690).

Almost surely, 2541055026650 is an apocalyptic number.

541055026650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 541055026650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706523217120).

541055026650 is an abundant number, since it is smaller than the sum of its proper divisors (871991407590).

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

541055026650 is a wasteful number, since it uses less digits than its factorization.

541055026650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81760 (or 81755 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

Adding to 541055026650 its reverse (56620550145), we get a palindrome (597675576795).

The spelling of 541055026650 in words is "five hundred forty-one billion, fifty-five million, twenty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2393 2850 4786 7179 11965 14358 23930 35895 45467 59825 71790 79333 90934 119650 136401 158666 179475 227335 237999 272802 358950 396665 454670 475998 682005 793330 1136675 1189995 1364010 1507327 1983325 2273350 2379990 3014654 3410025 3966650 4521981 5949975 6820050 7536635 9043962 11899950 15073270 22609905 37683175 45219810 75366350 113049525 189843869 226099050 379687738 569531607 949219345 1139063214 1898438690 2847658035 3607033511 4746096725 5695316070 7214067022 9492193450 10821100533 14238290175 18035167555 21642201066 28476580350 36070335110 54105502665 90175837775 108211005330 180351675550 270527513325 541055026650