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1018101968 = 24132478011
BaseRepresentation
bin111100101011110…
…000000011010000
32121221201221100022
4330223300003100
54041113230333
6245005243012
734141503212
oct7453600320
92557657308
101018101968
11482768094
12244b63468
13132c07700
14993005b2
155e5a9c98
hex3caf00d0

1018101968 has 60 divisors (see below), whose sum is σ = 2181699648. Its totient is φ = 459838080.

The previous prime is 1018101961. The next prime is 1018101971. The reversal of 1018101968 is 8691018101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1018101961) 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 11 ways as a sum of consecutive naturals, for example, 123083 + ... + 131093.

Almost surely, 21018101968 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 1018101968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090849824).

1018101968 is an abundant number, since it is smaller than the sum of its proper divisors (1163597680).

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

1018101968 is a wasteful number, since it uses less digits than its factorization.

1018101968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 35.

The square root of 1018101968 is about 31907.7101654130. The cubic root of 1018101968 is about 1005.9979420980.

The spelling of 1018101968 in words is "one billion, eighteen million, one hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 169 188 208 338 376 611 676 752 1222 1352 2444 2704 4888 7943 8011 9776 15886 16022 31772 32044 63544 64088 104143 127088 128176 208286 376517 416572 753034 833144 1353859 1506068 1666288 2707718 3012136 4894721 5415436 6024272 9789442 10830872 19578884 21661744 39157768 63631373 78315536 127262746 254525492 509050984 1018101968