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1012115264 = 26175915767
BaseRepresentation
bin111100010100111…
…010011101000000
32121112110210010112
4330110322131000
54033100142024
6244233050452
734036560236
oct7424723500
92545423115
101012115264
1147a3491a6
12242b56a28
131318bc794
14985c2956
155dcc600e
hex3c53a740

1012115264 has 56 divisors (see below), whose sum is σ = 2162738880. Its totient is φ = 468187136.

The previous prime is 1012115263. The next prime is 1012115287. The reversal of 1012115264 is 4625112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012115263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56309 + ... + 72075.

Almost surely, 21012115264 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 1012115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081369440).

1012115264 is an abundant number, since it is smaller than the sum of its proper divisors (1150623616).

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

1012115264 is a wasteful number, since it uses less digits than its factorization.

1012115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15855 (or 15845 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1012115264 is about 31813.7590359894. The cubic root of 1012115264 is about 1004.0222213777.

Adding to 1012115264 its reverse (4625112101), we get a palindrome (5637227365).

The spelling of 1012115264 in words is "one billion, twelve million, one hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 136 236 272 472 544 944 1003 1088 1888 2006 3776 4012 8024 15767 16048 31534 32096 63068 64192 126136 252272 268039 504544 536078 930253 1009088 1072156 1860506 2144312 3721012 4288624 7442024 8577248 14884048 15814301 17154496 29768096 31628602 59536192 63257204 126514408 253028816 506057632 1012115264