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35142479070 = 23511324174289
BaseRepresentation
bin100000101110101001…
…111010110011011110
310100201010202220110220
4200232221322303132
51033432433312240
624051053142210
72352602100126
oct405651726336
9110633686426
1035142479070
11139a4016736
12698918a966
1334108bb51a
1419b53d7c86
15daa3265d0
hex82ea7acde

35142479070 has 64 divisors (see below), whose sum is σ = 85143389760. Its totient is φ = 9282387968.

The previous prime is 35142479063. The next prime is 35142479077. The reversal of 35142479070 is 7097424153.

It is an interprime number because it is at equal distance from previous prime (35142479063) and next prime (35142479077).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35142479077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8191486 + ... + 8195774.

It is an arithmetic number, because the mean of its divisors is an integer number (1330365465).

Almost surely, 235142479070 is an apocalyptic number.

35142479070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35142479070 is an abundant number, since it is smaller than the sum of its proper divisors (50000910690).

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

35142479070 is a wasteful number, since it uses less digits than its factorization.

35142479070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6829.

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 35142479070 in words is "thirty-five billion, one hundred forty-two million, four hundred seventy-nine thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 113 226 339 565 678 1130 1695 2417 3390 4289 4834 7251 8578 12085 12867 14502 21445 24170 25734 36255 42890 64335 72510 128670 273121 484657 546242 819363 969314 1365605 1453971 1638726 2423285 2731210 2907942 4096815 4846570 7269855 8193630 10366513 14539710 20733026 31099539 51832565 62199078 103665130 155497695 310995390 1171415969 2342831938 3514247907 5857079845 7028495814 11714159690 17571239535 35142479070