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78407449368 = 233171812773833
BaseRepresentation
bin100100100000101110…
…0101011101100011000
321111101100110010020020
41021001130223230120
52241034301334433
6100004143430440
75444003215563
oct1110134535430
9244340403206
1078407449368
1130285a63236
12132425b5420
137517209971
143b1b4634da
15208d791cb3
hex124172bb18

78407449368 has 128 divisors (see below), whose sum is σ = 209503869120. Its totient is φ = 24367841280.

The previous prime is 78407449313. The next prime is 78407449369. The reversal of 78407449368 is 86394470487.

It is a super-2 number, since 2×784074493682 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78407449369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20453980 + ... + 20457812.

Almost surely, 278407449368 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 78407449368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104751934560).

78407449368 is an abundant number, since it is smaller than the sum of its proper divisors (131096419752).

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

78407449368 is a wasteful number, since it uses less digits than its factorization.

78407449368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 78407449368 in words is "seventy-eight billion, four hundred seven million, four hundred forty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 181 204 277 362 408 543 554 724 831 1086 1108 1448 1662 2172 2216 3077 3324 3833 4344 4709 6154 6648 7666 9231 9418 11499 12308 14127 15332 18462 18836 22998 24616 28254 30664 36924 37672 45996 50137 56508 65161 73848 91992 100274 113016 130322 150411 195483 200548 260644 300822 390966 401096 521288 601644 693773 781932 852329 1061741 1203288 1387546 1563864 1704658 2081319 2123482 2556987 2775092 3185223 3409316 4162638 4246964 5113974 5550184 6370446 6818632 8325276 8493928 10227948 11794141 12740892 16650552 18049597 20455896 23588282 25481784 35382423 36099194 47176564 54148791 70764846 72198388 94353128 108297582 141529692 144396776 192175121 216595164 283059384 384350242 433190328 576525363 768700484 1153050726 1537400968 2306101452 3266977057 4612202904 6533954114 9800931171 13067908228 19601862342 26135816456 39203724684 78407449368