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6135361104 = 2432915112917
BaseRepresentation
bin1011011011011001…
…00010111001010000
3120211120202122012110
411231230202321100
5100031123023404
62452450025320
7305016465105
oct55554427120
916746678173
106135361104
112669284674
121232878240
1376a1407b2
14422ba6aac
1525d974b89
hex16db22e50

6135361104 has 80 divisors (see below), whose sum is σ = 16412699520. Its totient is φ = 1972615680.

The previous prime is 6135361091. The next prime is 6135361123. The reversal of 6135361104 is 4011635316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101854 + ... + 2104770.

It is an arithmetic number, because the mean of its divisors is an integer number (205158744).

Almost surely, 26135361104 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 6135361104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206349760).

6135361104 is an abundant number, since it is smaller than the sum of its proper divisors (10277338416).

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

6135361104 is a wasteful number, since it uses less digits than its factorization.

6135361104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6135361104 is about 78328.5459076064. The cubic root of 6135361104 is about 1830.6839594549.

The spelling of 6135361104 in words is "six billion, one hundred thirty-five million, three hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1511 2917 3022 4533 5834 6044 8751 9066 11668 12088 17502 18132 23336 24176 35004 36264 43819 46672 70008 72528 84593 87638 131457 140016 169186 175276 253779 262914 338372 350552 507558 525828 676744 701104 1015116 1051656 1353488 2030232 2103312 4060464 4407587 8815174 13222761 17630348 26445522 35260696 52891044 70521392 105782088 127820023 211564176 255640046 383460069 511280092 766920138 1022560184 1533840276 2045120368 3067680552 6135361104