Search a number
-
+
79469342848 = 2771935913003
BaseRepresentation
bin100101000000010111…
…1011111000010000000
321121010100120220020101
41022000233133002000
52300223122432343
6100301355452144
75512216161130
oct1120057370200
9247110526211
1079469342848
1130780410555
121349a157054
1376562078bc
143bbc4c2ac0
152101aebe4d
hex1280bdf080

79469342848 has 128 divisors (see below), whose sum is σ = 191002752000. Its totient is φ = 32173396992.

The previous prime is 79469342803. The next prime is 79469342861. The reversal of 79469342848 is 84824396497.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×794693428482 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 79469342848.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6105115 + ... + 6118117.

It is an arithmetic number, because the mean of its divisors is an integer number (1492209000).

Almost surely, 279469342848 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 79469342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95501376000).

79469342848 is an abundant number, since it is smaller than the sum of its proper divisors (111533409152).

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

79469342848 is a wasteful number, since it uses less digits than its factorization.

79469342848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13402 (or 13390 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 64.

The spelling of 79469342848 in words is "seventy-nine billion, four hundred sixty-nine million, three hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 359 448 532 608 718 896 1064 1216 1436 2128 2432 2513 2872 4256 5026 5744 6821 8512 10052 11488 13003 13642 17024 20104 22976 26006 27284 40208 45952 47747 52012 54568 80416 91021 95494 104024 109136 160832 182042 190988 208048 218272 247057 321664 364084 381976 416096 436544 494114 728168 763952 832192 873088 988228 1456336 1527904 1664384 1729399 1976456 2912672 3055808 3458798 3952912 4668077 5825344 6111616 6917596 7905824 9336154 11650688 13835192 15811648 18672308 27670384 31623296 32676539 37344616 55340768 65353078 74689232 88693463 110681536 130706156 149378464 177386926 221363072 261412312 298756928 354773852 522824624 597513856 620854241 709547704 1045649248 1241708482 1419095408 2091298496 2483416964 2838190816 4182596992 4966833928 5676381632 9933667856 11352763264 19867335712 39734671424 79469342848