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35125000000 = 2659281
BaseRepresentation
bin100000101101100111…
…001111011101000000
310100122220212212200221
4200231213033131000
51033414000000000
624045230352424
72352300400546
oct405547173500
9110586785627
1035125000000
1113995168422
12698335b714
13340a0ab68c
1419b2d67d96
15da8a2261a
hex82d9cf740

35125000000 has 140 divisors (see below), whose sum is σ = 87436514484. Its totient is φ = 14000000000.

The previous prime is 35124999961. The next prime is 35125000019. The reversal of 35125000000 is 52153.

It can be written as a sum of positive squares in 10 ways, for example, as 1931075136 + 33193924864 = 43944^2 + 182192^2 .

It is a sliding number, since 35125000000 = 3125000000 + 32000000000 and 1/3125000000 + 1/32000000000 = 0.00000000035125000000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124999860 + ... + 125000140.

Almost surely, 235125000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43718257242).

35125000000 is an abundant number, since it is smaller than the sum of its proper divisors (52311514484).

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

35125000000 is an frugal number, since it uses more digits than its factorization.

35125000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

Adding to 35125000000 its reverse (52153), we get a palindrome (35125052153).

The spelling of 35125000000 in words is "thirty-five billion, one hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 281 320 400 500 562 625 800 1000 1124 1250 1405 1600 2000 2248 2500 2810 3125 4000 4496 5000 5620 6250 7025 8000 8992 10000 11240 12500 14050 15625 17984 20000 22480 25000 28100 31250 35125 40000 44960 50000 56200 62500 70250 78125 89920 100000 112400 125000 140500 156250 175625 200000 224800 250000 281000 312500 351250 390625 449600 500000 562000 625000 702500 781250 878125 1000000 1124000 1250000 1405000 1562500 1756250 1953125 2248000 2500000 2810000 3125000 3512500 3906250 4390625 5000000 5620000 6250000 7025000 7812500 8781250 11240000 12500000 14050000 15625000 17562500 21953125 25000000 28100000 31250000 35125000 43906250 56200000 62500000 70250000 87812500 109765625 125000000 140500000 175625000 219531250 281000000 351250000 439062500 548828125 702500000 878125000 1097656250 1405000000 1756250000 2195312500 3512500000 4390625000 7025000000 8781250000 17562500000 35125000000