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64109115630 = 23357229148123
BaseRepresentation
bin111011101101001100…
…110111100011101110
320010110212121111201000
4323231030313203232
52022243413200010
645241252501130
74426453330440
oct735514674356
9203425544630
1064109115630
1125208a1949a
121051201a7a6
136078b64561
1431624cc490
151a0337d7c0
hexeed3378ee

64109115630 has 128 divisors (see below), whose sum is σ = 196234675200. Its totient is φ = 14589424512.

The previous prime is 64109115607. The next prime is 64109115689. The reversal of 64109115630 is 3651190146.

64109115630 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 9 + 1 + 15 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358749 + ... + 506871.

It is an arithmetic number, because the mean of its divisors is an integer number (1533083400).

Almost surely, 264109115630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64109115630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98117337600).

64109115630 is an abundant number, since it is smaller than the sum of its proper divisors (132125559570).

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

64109115630 is a wasteful number, since it uses less digits than its factorization.

64109115630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148375 (or 148369 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 64109115630 in words is "sixty-four billion, one hundred nine million, one hundred fifteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 229 270 315 378 458 630 687 945 1145 1374 1603 1890 2061 2290 3206 3435 4122 4809 6183 6870 8015 9618 10305 12366 14427 16030 20610 24045 28854 30915 43281 48090 61830 72135 86562 144270 148123 216405 296246 432810 444369 740615 888738 1036861 1333107 1481230 2073722 2221845 2666214 3110583 3999321 4443690 5184305 6221166 6665535 7998642 9331749 10368610 13331070 15552915 18663498 19996605 27995247 31105830 33920167 39993210 46658745 55990494 67840334 93317490 101760501 139976235 169600835 203521002 237441169 279952470 305281503 339201670 474882338 508802505 610563006 712323507 915844509 1017605010 1187205845 1424647014 1526407515 1831689018 2136970521 2374411690 3052815030 3561617535 4273941042 4579222545 6410911563 7123235070 9158445090 10684852605 12821823126 21369705210 32054557815 64109115630