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934191402272 = 2561228012
BaseRepresentation
bin11011001100000100010…
…01011000110100100000
310022022022101221021121122
431212002021120310200
5110301210444333042
61553054523511412
7124331063621042
oct15460211306440
93268271837548
10934191402272
11330208768447
12131076988568
136a12b30969b
1433302369a92
15194790d77d2
hexd982258d20

934191402272 has 54 divisors (see below), whose sum is σ = 1870502038587. Its totient is φ = 459274368000.

The previous prime is 934191402271. The next prime is 934191402289. The reversal of 934191402272 is 272204191439.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 33901647376 + 900289754896 = 184124^2 + 948836^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=683444.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (934191402271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 333519272 + ... + 333522072.

Almost surely, 2934191402272 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 934191402272

934191402272 is an abundant number, since it is smaller than the sum of its proper divisors (936310636315).

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

934191402272 is an frugal number, since it uses more digits than its factorization.

934191402272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 934191402272 in words is "nine hundred thirty-four billion, one hundred ninety-one million, four hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 2801 3721 5602 7442 11204 14884 22408 29768 44816 59536 89632 119072 170861 341722 683444 1366888 2733776 5467552 7845601 10422521 15691202 20845042 31382404 41690084 62764808 83380168 125529616 166760336 251059232 333520672 478581661 957163322 1914326644 3828653288 7657306576 15314613152 29193481321 58386962642 116773925284 233547850568 467095701136 934191402272