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78834883848 = 23375937321323
BaseRepresentation
bin100100101101011101…
…1001101110100001000
321112111010202001002220
41021122323031310020
52242423212240343
6100114413054040
75460413312340
oct1113273156410
9245433661086
1078834883848
1130485267076
1213341787320
137584935586
143b5c129d20
1520b6074183
hex125aecdd08

78834883848 has 128 divisors (see below), whose sum is σ = 229685068800. Its totient is φ = 22082086656.

The previous prime is 78834883843. The next prime is 78834883861. The reversal of 78834883848 is 84838843887.

It is a super-2 number, since 2×788348838482 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (78834883843) 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, 3686515 + ... + 3707837.

It is an arithmetic number, because the mean of its divisors is an integer number (1794414600).

Almost surely, 278834883848 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 78834883848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114842534400).

78834883848 is an abundant number, since it is smaller than the sum of its proper divisors (150850184952).

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

78834883848 is a wasteful number, since it uses less digits than its factorization.

78834883848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21771 (or 21767 counting only the distinct ones).

The product of its digits is 264241152, while the sum is 69.

The spelling of 78834883848 in words is "seventy-eight billion, eight hundred thirty-four million, eight hundred eighty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 373 413 472 708 746 826 1119 1239 1416 1492 1652 2238 2478 2611 2984 3304 4476 4956 5222 7833 8952 9912 10444 15666 20888 21323 22007 31332 42646 44014 62664 63969 66021 85292 88028 127938 132042 149261 154049 170584 176056 255876 264084 298522 308098 447783 462147 511752 528168 597044 616196 895566 924294 1194088 1232392 1258057 1791132 1848588 2516114 3582264 3697176 3774171 5032228 7548342 7953479 8806399 10064456 15096684 15906958 17612798 23860437 26419197 30193368 31813916 35225596 47720874 52838394 55674353 63627832 70451192 95441748 105676788 111348706 167023059 190883496 211353576 222697412 334046118 445394824 469255261 668092236 938510522 1336184472 1407765783 1877021044 2815531566 3284786827 3754042088 5631063132 6569573654 9854360481 11262126264 13139147308 19708720962 26278294616 39417441924 78834883848