Search a number
-
+
35412665340 = 223513229198257
BaseRepresentation
bin100000111110110000…
…100110001111111100
310101101222011210100210
4200332300212033330
51040011120242330
624133544152420
72362362455163
oct407660461774
9111358153323
1035412665340
1114022587678
126a43768710
13345487b060
1419dd24a3da
15dc3de68b0
hex83ec263fc

35412665340 has 96 divisors (see below), whose sum is σ = 107249647680. Its totient is φ = 8678854656.

The previous prime is 35412665273. The next prime is 35412665389. The reversal of 35412665340 is 4356621453.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79492 + ... + 277748.

It is an arithmetic number, because the mean of its divisors is an integer number (1117183830).

Almost surely, 235412665340 is an apocalyptic number.

35412665340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35412665340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53624823840).

35412665340 is an abundant number, since it is smaller than the sum of its proper divisors (71836982340).

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

35412665340 is a wasteful number, since it uses less digits than its factorization.

35412665340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198511 (or 198509 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 35412665340 in words is "thirty-five billion, four hundred twelve million, six hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 229 260 390 458 687 780 916 1145 1374 2290 2748 2977 3435 4580 5954 6870 8931 11908 13740 14885 17862 29770 35724 44655 59540 89310 178620 198257 396514 594771 793028 991285 1189542 1982570 2379084 2577341 2973855 3965140 5154682 5947710 7732023 10309364 11895420 12886705 15464046 25773410 30928092 38660115 45400853 51546820 77320230 90801706 136202559 154640460 181603412 227004265 272405118 454008530 544810236 590211089 681012795 908017060 1180422178 1362025590 1770633267 2360844356 2724051180 2951055445 3541266534 5902110890 7082533068 8853166335 11804221780 17706332670 35412665340