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78345328727728 = 24234710748786927
BaseRepresentation
bin10001110100000100110001…
…011111010001011010110000
3101021101201222122221011010201
4101310010301133101122300
540232102213123241403
6434343202552404544
722334156165302036
oct2164046137213260
9337351878834121
1078345328727728
1122a66081676707
128953a240a6754
133493c1848653a
14154bd11406556
1590ce1d83e21d
hex4741317d16b0

78345328727728 has 160 divisors (see below), whose sum is σ = 163612860678144. Its totient is φ = 36254534190336.

The previous prime is 78345328727719. The next prime is 78345328727741. The reversal of 78345328727728 is 82772782354387.

It is a super-2 number, since 2×783453287277282 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901233801 + ... + 901320727.

Almost surely, 278345328727728 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 78345328727728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81806430339072).

78345328727728 is an abundant number, since it is smaller than the sum of its proper divisors (85267531950416).

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

78345328727728 is a wasteful number, since it uses less digits than its factorization.

78345328727728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87599 (or 87593 counting only the distinct ones).

The product of its digits is 1770209280, while the sum is 73.

The spelling of 78345328727728 in words is "seventy-eight trillion, three hundred forty-five billion, three hundred twenty-eight million, seven hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 47 92 94 107 184 188 214 368 376 428 487 752 856 974 1081 1712 1948 2162 2461 3896 4324 4922 5029 7792 8648 9844 10058 11201 17296 19688 20116 22402 22889 39376 40232 44804 45778 52109 80464 86927 89608 91556 104218 115667 173854 179216 183112 208436 231334 347708 366224 416872 462668 526447 695416 833744 925336 1052894 1198507 1390832 1850672 1999321 2105788 2397014 2449123 3998642 4085569 4211576 4794028 4898246 7997284 8171138 8423152 9301189 9588056 9796492 15994568 16342276 18602378 19176112 19592984 31989136 32684552 37204756 39185968 42333449 56329829 65369104 74409512 84666898 93968087 112659658 148819024 169333796 187936174 213927347 225319316 338667592 375872348 427854694 437155883 450638632 677335184 751744696 855709388 874311766 901277264 973669327 1503489392 1711418776 1748623532 1947338654 1989672103 3422837552 3497247064 3894677308 3979344206 4529679043 6994494128 7789354616 7958688412 9059358086 10054585309 15578709232 15917376824 18118716172 20109170618 31834753648 36237432344 40218341236 45762458369 72474864688 80436682472 91524916738 104182617989 160873364944 183049833476 208365235978 212894915021 366099666952 416730471956 425789830042 732199333904 833460943912 851579660084 1666921887824 1703159320168 3406318640336 4896583045483 9793166090966 19586332181932 39172664363864 78345328727728