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35013145152 = 263672721793
BaseRepresentation
bin100000100110111100…
…100011001001000000
310100101010102001200210
4200212330203021000
51033201331121102
624030153114120
72346441552246
oct404674431100
9110333361623
1035013145152
111393800a1a7
1269519b8940
1333bcb76c8b
1419a216c796
15d9dcca36c
hex826f23240

35013145152 has 56 divisors (see below), whose sum is σ = 94021651936. Its totient is φ = 11496849408.

The previous prime is 35013145133. The next prime is 35013145169. The reversal of 35013145152 is 25154131053.

It is a super-2 number, since 2×350131451522 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1348033 + ... + 1373760.

Almost surely, 235013145152 is an apocalyptic number.

35013145152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35013145152 is an abundant number, since it is smaller than the sum of its proper divisors (59008506784).

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

35013145152 is a wasteful number, since it uses less digits than its factorization.

35013145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721875 (or 2721865 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 35013145152 in words is "thirty-five billion, thirteen million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6432 12864 2721793 5443586 8165379 10887172 16330758 21774344 32661516 43548688 65323032 87097376 130646064 174194752 182360131 261292128 364720262 522584256 547080393 729440524 1094160786 1458881048 2188321572 2917762096 4376643144 5835524192 8753286288 11671048384 17506572576 35013145152