Search a number
-
+
99348909760 = 26512719112799
BaseRepresentation
bin101110010000110101…
…0000000111011000000
3100111102210111112100101
41130201222000323000
53111431310103020
6113350143532144
710114646541142
oct1344152007300
9314383445311
1099348909760
11391519623a1
12173078ba054
1394a3966449
144b467b8c92
1528b6ec900a
hex1721a80ec0

99348909760 has 112 divisors (see below), whose sum is σ = 239704473600. Its totient is φ = 39217167360.

The previous prime is 99348909733. The next prime is 99348909761. The reversal of 99348909760 is 6790984399.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 99348909692 and 99348909701.

It is not an unprimeable number, because it can be changed into a prime (99348909761) 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, 7755841 + ... + 7768639.

Almost surely, 299348909760 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 99348909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119852236800).

99348909760 is an abundant number, since it is smaller than the sum of its proper divisors (140355563840).

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

99348909760 is a wasteful number, since it uses less digits than its factorization.

99348909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13134 (or 13124 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 64.

The spelling of 99348909760 in words is "ninety-nine billion, three hundred forty-eight million, nine hundred nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 191 254 320 382 508 635 764 955 1016 1270 1528 1910 2032 2540 3056 3820 4064 5080 6112 7640 8128 10160 12224 12799 15280 20320 24257 25598 30560 40640 48514 51196 61120 63995 97028 102392 121285 127990 194056 204784 242570 255980 388112 409568 485140 511960 776224 819136 970280 1023920 1552448 1625473 1940560 2047840 2444609 3250946 3881120 4095680 4889218 6501892 7762240 8127365 9778436 12223045 13003784 16254730 19556872 24446090 26007568 32509460 39113744 48892180 52015136 65018920 78227488 97784360 104030272 130037840 156454976 195568720 260075680 310465343 391137440 520151360 620930686 782274880 1241861372 1552326715 2483722744 3104653430 4967445488 6209306860 9934890976 12418613720 19869781952 24837227440 49674454880 99348909760