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35430525463053 = 374721498875779
BaseRepresentation
bin10000000111001010011111…
…11000100110101000001101
311122110010101020102110001210
420003211033320212220031
514120443204004304203
6203204320402325033
710314525310246440
oct1003451770465015
9148403336373053
1035430525463053
1110320001a52126
123b8280b359779
1316a0113035906
148a6bbd043657
15416968c15803
hex20394fe26a0d

35430525463053 has 96 divisors (see below), whose sum is σ = 55604968704000. Its totient is φ = 19656668359296.

The previous prime is 35430525463051. The next prime is 35430525463087. The reversal of 35430525463053 is 35036452503453.

It is a happy number.

It is not a de Polignac number, because 35430525463053 - 21 = 35430525463051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35430525462993 and 35430525463011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35430525463051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6130906518 + ... + 6130912296.

It is an arithmetic number, because the mean of its divisors is an integer number (579218424000).

Almost surely, 235430525463053 is an apocalyptic number.

It is an amenable number.

35430525463053 is a deficient number, since it is larger than the sum of its proper divisors (20174443240947).

35430525463053 is a wasteful number, since it uses less digits than its factorization.

35430525463053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6872 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 48.

The spelling of 35430525463053 in words is "thirty-five trillion, four hundred thirty billion, five hundred twenty-five million, four hundred sixty-three thousand, fifty-three".

Divisors: 1 3 7 21 47 141 149 329 447 887 987 1043 2209 2661 3129 5779 6209 6627 7003 15463 17337 18627 21009 40453 41689 46389 49021 121359 125067 132163 147063 271613 291823 329141 396489 814839 861071 875469 925141 987423 1901291 1959383 2303987 2583213 2775423 5125973 5703873 5878149 6027497 6211661 6911961 12765811 13715681 15377919 18082491 18634983 35881811 38297433 40470337 41147043 43481627 89360677 107645433 121411011 130444881 240920731 268082031 283292359 291948067 722762193 763769977 849877077 875844201 1686445117 1902105839 2043636469 2291309931 5059335351 5346389839 5706317517 6130909407 11323274357 13314740873 16039169517 33969823071 35897188919 39944222619 79262920499 107691566757 237788761497 251280322433 753840967299 1687167879193 5061503637579 11810175154351 35430525463053