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933814289141 = 2329103101913339
BaseRepresentation
bin11011001011010111010…
…10110100001011110101
310022021100010022221122122
431211223222310023311
5110244422424223031
61552553253005325
7124315534330616
oct15455352641365
93267303287578
10933814289141
113300349047a8
12130b90623845
136a09b14c516
14332a8241c0d
1519455e4547b
hexd96bab42f5

933814289141 has 32 divisors (see below), whose sum is σ = 1018877184000. Its totient is φ = 853138173888.

The previous prime is 933814289113. The next prime is 933814289167. The reversal of 933814289141 is 141982418339.

It is a cyclic number.

It is not a de Polignac number, because 933814289141 - 210 = 933814288117 is a prime.

It is a super-2 number, since 2×9338142891412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (933814289041) 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 31 ways as a sum of consecutive naturals, for example, 69999650 + ... + 70012988.

It is an arithmetic number, because the mean of its divisors is an integer number (31839912000).

Almost surely, 2933814289141 is an apocalyptic number.

It is an amenable number.

933814289141 is a deficient number, since it is larger than the sum of its proper divisors (85062894859).

933814289141 is a wasteful number, since it uses less digits than its factorization.

933814289141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14513.

The product of its digits is 1492992, while the sum is 53.

The spelling of 933814289141 in words is "nine hundred thirty-three billion, eight hundred fourteen million, two hundred eighty-nine thousand, one hundred forty-one".

Divisors: 1 23 29 103 667 1019 2369 2987 13339 23437 29551 68701 104957 306797 386831 679673 1373917 2414011 3043753 8897113 13592441 31600091 39843593 70006319 312626143 394180789 916402639 1400021423 9066158147 32200492729 40600621267 933814289141