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7916065248 = 2537213129449
BaseRepresentation
bin1110101111101010…
…11001000111100000
3202102200110210001210
413113311121013200
5112203003041443
63345300430120
7400111305300
oct72765310740
922380423053
107916065248
1133a2459a93
12164b0a8340
13992035aa0
14551499600
15314e6ac33
hex1d7d591e0

7916065248 has 144 divisors (see below), whose sum is σ = 26031877200. Its totient is φ = 2087737344.

The previous prime is 7916065207. The next prime is 7916065253. The reversal of 7916065248 is 8425606197.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7916065197 and 7916065206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3573 + ... + 125876.

It is an arithmetic number, because the mean of its divisors is an integer number (180776925).

Almost surely, 27916065248 is an apocalyptic number.

7916065248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7916065248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13015938600).

7916065248 is an abundant number, since it is smaller than the sum of its proper divisors (18115811952).

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

7916065248 is a wasteful number, since it uses less digits than its factorization.

7916065248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129489 (or 129474 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 7916065248 is about 88972.2723549309. The cubic root of 7916065248 is about 1992.9808317909.

The spelling of 7916065248 in words is "seven billion, nine hundred sixteen million, sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 20384 30576 61152 129449 258898 388347 517796 776694 906143 1035592 1553388 1682837 1812286 2071184 2718429 3106776 3365674 3624572 4142368 5048511 5436858 6213552 6343001 6731348 7249144 10097022 10873716 11779859 12427104 12686002 13462696 14498288 19029003 20194044 21747432 23559718 25372004 26925392 28996576 35339577 38058006 40388088 43494864 47119436 50744008 53850784 70679154 76116012 80776176 82459013 86989728 94238872 101488016 141358308 152232024 161552352 164918026 188477744 202976032 247377039 282716616 304464048 329836052 376955488 494754078 565433232 608928096 659672104 989508156 1130866464 1319344208 1979016312 2638688416 3958032624 7916065248