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35213355540 = 223251117784523
BaseRepresentation
bin100000110010111000…
…010010101000010100
310100220002010210201100
4200302320102220110
51034104104334130
624102104230100
72354422404066
oct406270225024
9110802123640
1035213355540
1113a30026230
1269a8a6b330
1334224a5c6c
1419c09a7736
15db1676c60
hex832e12a14

35213355540 has 72 divisors (see below), whose sum is σ = 116524201248. Its totient is φ = 8536570560.

The previous prime is 35213355539. The next prime is 35213355547. The reversal of 35213355540 is 4555331253.

35213355540 is a `hidden beast` number, since 3 + 52 + 13 + 3 + 55 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35213355495 and 35213355504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35213355547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8890282 + ... + 8894241.

It is an arithmetic number, because the mean of its divisors is an integer number (1618391684).

Almost surely, 235213355540 is an apocalyptic number.

35213355540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35213355540 is an abundant number, since it is smaller than the sum of its proper divisors (81310845708).

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

35213355540 is a wasteful number, since it uses less digits than its factorization.

35213355540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17784549 (or 17784544 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 35213355540 its reverse (4555331253), we get a palindrome (39768686793).

The spelling of 35213355540 in words is "thirty-five billion, two hundred thirteen million, three hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 17784523 35569046 53353569 71138092 88922615 106707138 160060707 177845230 195629753 213414276 266767845 320121414 355690460 391259506 533535690 586889259 640242828 782519012 800303535 978148765 1067071380 1173778518 1600607070 1760667777 1956297530 2347557036 2934446295 3201214140 3521335554 3912595060 5868892590 7042671108 8803338885 11737785180 17606677770 35213355540