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3748979545520 = 2451117892815733
BaseRepresentation
bin110110100011100000100…
…110000001010110110000
3111021101202211102101102112
4312203200212001112300
5442410402230424040
611550131334304452
7534566131231316
oct66434046012660
914241684371375
103748979545520
111215a2a243910
125066b17b8128
132126b14ba431
14cd6471b80b6
15677bd7be365
hex368e09815b0

3748979545520 has 160 divisors (see below), whose sum is σ = 10181243626560. Its totient is φ = 1268656209920.

The previous prime is 3748979545517. The next prime is 3748979545543. The reversal of 3748979545520 is 255459798473.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76427 + ... + 2739306.

It is an arithmetic number, because the mean of its divisors is an integer number (63632772666).

Almost surely, 23748979545520 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 3748979545520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090621813280).

3748979545520 is an abundant number, since it is smaller than the sum of its proper divisors (6432264081040).

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

3748979545520 is a wasteful number, since it uses less digits than its factorization.

3748979545520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815863 (or 2815857 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 68.

The spelling of 3748979545520 in words is "three trillion, seven hundred forty-eight billion, nine hundred seventy-nine million, five hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 89 110 136 170 176 178 187 220 272 340 356 374 440 445 680 712 748 880 890 935 979 1360 1424 1496 1513 1780 1870 1958 2992 3026 3560 3740 3916 4895 6052 7120 7480 7565 7832 9790 12104 14960 15130 15664 16643 19580 24208 30260 33286 39160 60520 66572 78320 83215 121040 133144 166430 266288 332860 665720 1331440 2815733 5631466 11262932 14078665 22525864 28157330 30973063 45051728 47867461 56314660 61946126 95734922 112629320 123892252 154865315 191469844 225258640 239337305 247784504 250600237 309730630 382939688 478674610 495569008 501200474 526542071 619461260 765879376 957349220 1002400948 1053084142 1238922520 1253001185 1914698440 2004801896 2106168284 2477845040 2506002370 2632710355 2756602607 3829396880 4009603792 4212336568 4260204029 5012004740 5265420710 5513205214 8424673136 8520408058 10024009480 10530841420 11026410428 13783013035 17040816116 20048018960 21061682840 21301020145 22052820856 27566026070 34081632232 42123365680 42602040290 44105641712 46862244319 55132052140 68163264464 85204080580 93724488638 110264104280 170408161160 187448977276 220528208560 234311221595 340816322320 374897954552 468622443190 749795909104 937244886380 1874489772760 3748979545520