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102448969568 = 2511439769779
BaseRepresentation
bin101111101101001101…
…1110011011101100000
3100210102211210212221022
41133122123303131200
53134303414011233
6115021524545012
710254531605321
oct1373233633540
9323384725838
10102448969568
113a4a28551a0
1217a31b52168
139878cb276a
144d5c3ca448
1529e9235398
hex17da6f3760

102448969568 has 96 divisors (see below), whose sum is σ = 227473868160. Its totient is φ = 45015183360.

The previous prime is 102448969561. The next prime is 102448969583. The reversal of 102448969568 is 865969844201.

It is a self number, because there is not a number n which added to its sum of digits gives 102448969568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102448969561) 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, 1433303 + ... + 1503081.

It is an arithmetic number, because the mean of its divisors is an integer number (2369519460).

Almost surely, 2102448969568 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 102448969568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113736934080).

102448969568 is an abundant number, since it is smaller than the sum of its proper divisors (125024898592).

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

102448969568 is a wasteful number, since it uses less digits than its factorization.

102448969568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69940 (or 69932 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 62.

The spelling of 102448969568 in words is "one hundred two billion, four hundred forty-eight million, nine hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 97 172 176 194 344 352 388 473 688 776 946 1067 1376 1552 1892 2134 3104 3784 4171 4268 7568 8342 8536 15136 16684 17072 33368 34144 45881 66736 69779 91762 133472 139558 183524 279116 367048 558232 734096 767569 1116464 1468192 1535138 2232928 3000497 3070276 6000994 6140552 6768563 12001988 12281104 13537126 24003976 24562208 27074252 33005467 48007952 54148504 66010934 74454193 96015904 108297008 132021868 148908386 216594016 264043736 291048209 297816772 528087472 582096418 595633544 1056174944 1164192836 1191267088 2328385672 2382534176 3201530299 4656771344 6403060598 9313542688 12806121196 25612242392 51224484784 102448969568