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384534412572640 = 25511231640719829
BaseRepresentation
bin101011101101110110110010…
…1000100001011011111100000
31212102112010112101000211202011
41113123231211010023133200
5400400202434104311030
63441500400451002304
7143665460133543301
oct12733554504133740
91772463471024664
10384534412572640
11101585146118900
1237165418899394
13136745937bb135
146ad57ca0267a8
152e6c95107db2a
hex15dbb6510b7e0

384534412572640 has 144 divisors (see below), whose sum is σ = 1030769559469440. Its totient is φ = 135320027673600.

The previous prime is 384534412572613. The next prime is 384534412572647. The reversal of 384534412572640 is 46275214435483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384534412572647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319759755 + ... + 320960074.

It is an arithmetic number, because the mean of its divisors is an integer number (7158121940760).

Almost surely, 2384534412572640 is an apocalyptic number.

It is an amenable number.

384534412572640 is an abundant number, since it is smaller than the sum of its proper divisors (646235146896800).

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

384534412572640 is a wasteful number, since it uses less digits than its factorization.

384534412572640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640719897 (or 640719878 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 58.

The spelling of 384534412572640 in words is "three hundred eighty-four trillion, five hundred thirty-four billion, four hundred twelve million, five hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 121 124 155 160 176 220 242 248 310 341 352 440 484 496 605 620 682 880 968 992 1210 1240 1364 1705 1760 1936 2420 2480 2728 3410 3751 3872 4840 4960 5456 6820 7502 9680 10912 13640 15004 18755 19360 27280 30008 37510 54560 60016 75020 120032 150040 300080 600160 640719829 1281439658 2562879316 3203599145 5125758632 6407198290 7047918119 10251517264 12814396580 14095836238 19862314699 20503034528 25628793160 28191672476 35239590595 39724629398 51257586320 56383344952 70479181190 77527099309 79449258796 99311573495 102515172640 112766689904 140958362380 155054198618 158898517592 198623146990 218485461689 225533379808 281916724760 310108397236 317797035184 387635496545 397246293980 436970923378 563833449520 620216794472 635594070368 775270993090 794492587960 873941846756 1092427308445 1127666899040 1240433588944 1550541986180 1588985175920 1747883693512 2184854616890 2403340078579 2480867177888 3101083972360 3177970351840 3495767387024 4369709233780 4806680157158 6202167944720 6991534774048 8739418467560 9613360314316 12016700392895 12404335889440 17478836935120 19226720628632 24033400785790 34957673870240 38453441257264 48066801571580 76906882514528 96133603143160 192267206286320 384534412572640