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646225288152 = 233471919073307
BaseRepresentation
bin10010110011101100000…
…01110101101111011000
32021210000112212222220120
421121312001311233120
541041432133210102
61212512150353240
764455031213653
oct11316601655730
92253015788816
10646225288152
1122a076367784
12a52ab65b820
1348c28678212
14233c554689a
1511c2313e6bc
hex9676075bd8

646225288152 has 128 divisors (see below), whose sum is σ = 1660906045440. Its totient is φ = 209426901120.

The previous prime is 646225288123. The next prime is 646225288169. The reversal of 646225288152 is 251882522646.

It is a junction number, because it is equal to n+sod(n) for n = 646225288095 and 646225288104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195409683 + ... + 195412989.

It is an arithmetic number, because the mean of its divisors is an integer number (12975828480).

Almost surely, 2646225288152 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 646225288152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830453022720).

646225288152 is an abundant number, since it is smaller than the sum of its proper divisors (1014680757288).

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

646225288152 is a wasteful number, since it uses less digits than its factorization.

646225288152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4457 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The spelling of 646225288152 in words is "six hundred forty-six billion, two hundred twenty-five million, two hundred eighty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 191 282 376 382 564 573 764 907 1128 1146 1528 1814 2292 2721 3307 3628 4584 5442 6614 7256 8977 9921 10884 13228 17954 19842 21768 26456 26931 35908 39684 42629 53862 71816 79368 85258 107724 127887 155429 170516 173237 215448 255774 310858 341032 346474 466287 511548 519711 621716 631637 692948 932574 1023096 1039422 1243432 1263274 1385896 1865148 1894911 2078844 2526548 2999449 3730296 3789822 4157688 5053096 5998898 7579644 8142139 8998347 11997796 15159288 16284278 17996694 23995592 24426417 29686939 32568556 35993388 48852834 59373878 65137112 71986776 89060817 97705668 118747756 140974103 178121634 195411336 237495512 281948206 356243268 422922309 563896412 572894759 712486536 845844618 1127792824 1145789518 1691689236 1718684277 2291579036 3383378472 3437368554 4583158072 6874737108 13749474216 26926053673 53852107346 80778161019 107704214692 161556322038 215408429384 323112644076 646225288152