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34932043479970 = 2572132421833637
BaseRepresentation
bin1111111000101010000000…
…00010101111101110100010
311120200110201011121222120001
413330111000002233232202
514034311311112324340
6202143320443410214
710233520413304300
oct774250002575642
9146613634558501
1034932043479970
111014866196026a
123b0209282396a
131665101547a00
1488aa11693270
154089e14da29a
hex1fc5400afba2

34932043479970 has 72 divisors (see below), whose sum is σ = 79202640203604. Its totient is φ = 11055415932288.

The previous prime is 34932043479943. The next prime is 34932043479997. The reversal of 34932043479970 is 7997434023943.

It is an interprime number because it is at equal distance from previous prime (34932043479943) and next prime (34932043479997).

It can be written as a sum of positive squares in 6 ways, for example, as 13863640538881 + 21068402941089 = 3723391^2 + 4590033^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210834009 + ... + 210999628.

Almost surely, 234932043479970 is an apocalyptic number.

34932043479970 is an abundant number, since it is smaller than the sum of its proper divisors (44270596723634).

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

34932043479970 is a wasteful number, since it uses less digits than its factorization.

34932043479970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421833684 (or 421833664 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 64.

The spelling of 34932043479970 in words is "thirty-four trillion, nine hundred thirty-two billion, forty-three million, four hundred seventy-nine thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 169 182 245 338 455 490 637 845 910 1183 1274 1690 2366 3185 5915 6370 8281 11830 16562 41405 82810 421833637 843667274 2109168185 2952835459 4218336370 5483837281 5905670918 10967674562 14764177295 20669848213 27419186405 29528354590 38386860967 41339696426 54838372810 71289884653 76773721934 103349241065 142579769306 191934304835 206698482130 268708026769 356449423265 383868609670 499029192571 537416053538 712898846530 998058385142 1343540133845 2495145962855 2687080267690 3493204347997 4990291925710 6986408695994 17466021739985 34932043479970