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78368275968 = 293831993089
BaseRepresentation
bin100100011111100011…
…1001111111000000000
321111021121201220102120
41020333013033320000
52240444234312333
6100000224044240
75443016232453
oct1107707177000
9244247656376
1078368275968
1130265937724
1213231463680
13750c072438
143b1618749a
15208a104db3
hex123f1cfe00

78368275968 has 160 divisors (see below), whose sum is σ = 212423904000. Its totient is φ = 25670025216.

The previous prime is 78368275967. The next prime is 78368276009. The reversal of 78368275968 is 86957286387.

It is a super-2 number, since 2×783682759682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78368275967) 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, 25368568 + ... + 25371656.

It is an arithmetic number, because the mean of its divisors is an integer number (1327649400).

Almost surely, 278368275968 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 78368275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106211952000).

78368275968 is an abundant number, since it is smaller than the sum of its proper divisors (134055628032).

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

78368275968 is a wasteful number, since it uses less digits than its factorization.

78368275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3376 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 69.

The spelling of 78368275968 in words is "seventy-eight billion, three hundred sixty-eight million, two hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 199 249 256 332 384 398 498 512 597 664 768 796 996 1194 1328 1536 1592 1992 2388 2656 3089 3184 3984 4776 5312 6178 6368 7968 9267 9552 10624 12356 12736 15936 16517 18534 19104 21248 24712 25472 31872 33034 37068 38208 42496 49424 49551 50944 63744 66068 74136 76416 98848 99102 101888 127488 132136 148272 152832 197696 198204 256387 264272 296544 305664 395392 396408 512774 528544 593088 614711 769161 790784 792816 1025548 1057088 1186176 1229422 1538322 1581568 1585632 1844133 2051096 2114176 2372352 2458844 3076644 3171264 3688266 4102192 4228352 4744704 4917688 6153288 6342528 7376532 8204384 8456704 9835376 12306576 12685056 14753064 16408768 19670752 24613152 25370112 29506128 32817536 39341504 49226304 51021013 59012256 65635072 78683008 98452608 102042026 118024512 131270144 153063039 157366016 196905216 204084052 236049024 306126078 314732032 393810432 408168104 472098048 612252156 816336208 944196096 1224504312 1632672416 2449008624 3265344832 4898017248 6530689664 9796034496 13061379328 19592068992 26122758656 39184137984 78368275968