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2669041620 = 2232573757251
BaseRepresentation
bin1001111100010110…
…0101011111010100
320220000021100210100
42133011211133110
520431233312440
61120502454100
7123066323310
oct23705453724
96800240710
102669041620
11114a671523
12625a34330
13336c6748b
141b4694b40
151094bc230
hex9f1657d4

2669041620 has 144 divisors (see below), whose sum is σ = 9502915968. Its totient is φ = 593568000.

The previous prime is 2669041607. The next prime is 2669041637. The reversal of 2669041620 is 261409662.

2669041620 is a `hidden beast` number, since 26 + 6 + 9 + 0 + 4 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17995 + ... + 75245.

It is an arithmetic number, because the mean of its divisors is an integer number (65992472).

Almost surely, 22669041620 is an apocalyptic number.

2669041620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2669041620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751457984).

2669041620 is an abundant number, since it is smaller than the sum of its proper divisors (6833874348).

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

2669041620 is a wasteful number, since it uses less digits than its factorization.

2669041620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57310 (or 57305 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2669041620 is about 51662.7682185150. The cubic root of 2669041620 is about 1387.1341017155.

The spelling of 2669041620 in words is "two billion, six hundred sixty-nine million, forty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 11655 15540 23310 46620 57251 114502 171753 229004 286255 343506 400757 515259 572510 687012 801514 858765 1030518 1145020 1202271 1603028 1717530 2003785 2061036 2118287 2404542 2576295 3435060 3606813 4007570 4236574 4809084 5152590 6011355 6354861 7213626 8015140 8473148 10305180 10591435 12022710 12709722 14427252 14828009 18034065 19064583 21182870 24045420 25419444 29656018 31774305 36068130 38129166 42365740 44484027 59312036 63548610 72136260 74140045 76258332 88968054 95322915 127097220 133452081 148280090 177936108 190645830 222420135 266904162 296560180 381291660 444840270 533808324 667260405 889680540 1334520810 2669041620