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102648371392 = 2673113492111
BaseRepresentation
bin101111110011001010…
…0011101100011000000
3100210221202000112211001
41133212110131203000
53140210440341032
6115053410501344
710262502521620
oct1374624354300
9323852015731
10102648371392
113a595369796
1217a88894854
1398ab3ba6c8
144d7aa94880
152a0b9c23e7
hex17e651d8c0

102648371392 has 112 divisors (see below), whose sum is σ = 234320486400. Its totient is φ = 43704345600.

The previous prime is 102648371383. The next prime is 102648371393. The reversal of 102648371392 is 293173846201.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (102648371393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48624417 + ... + 48626527.

It is an arithmetic number, because the mean of its divisors is an integer number (2092147200).

Almost surely, 2102648371392 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 102648371392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117160243200).

102648371392 is an abundant number, since it is smaller than the sum of its proper divisors (131672115008).

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

102648371392 is a wasteful number, since it uses less digits than its factorization.

102648371392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 102648371392 in words is "one hundred two billion, six hundred forty-eight million, three hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 311 349 448 622 698 1244 1396 2111 2177 2443 2488 2792 4222 4354 4886 4976 5584 8444 8708 9772 9952 11168 14777 16888 17416 19544 19904 22336 29554 33776 34832 39088 59108 67552 69664 78176 108539 118216 135104 139328 156352 217078 236432 434156 472864 656521 736739 759773 868312 945728 1313042 1473478 1519546 1736624 2626084 2946956 3039092 3473248 4595647 5157173 5252168 5893912 6078184 6946496 9191294 10314346 10504336 11787824 12156368 18382588 20628692 21008672 23575648 24312736 36765176 41257384 42017344 47151296 48625472 73530352 82514768 147060704 165029536 229125829 294121408 330059072 458251658 916503316 1603880803 1833006632 3207761606 3666013264 6415523212 7332026528 12831046424 14664053056 25662092848 51324185696 102648371392