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78540870348 = 22331799834133
BaseRepresentation
bin100100100100101100…
…1101001001011001100
321111201122111121102000
41021021121221023030
52241322430322343
6100025311232300
75450213245203
oct1111131511314
9244648447360
1078540870348
1130344301406
121327b218690
137538a525a5
143b3107423a
15209a348ed3
hex12496692cc

78540870348 has 96 divisors (see below), whose sum is σ = 205019942400. Its totient is φ = 26001254592.

The previous prime is 78540870341. The next prime is 78540870377. The reversal of 78540870348 is 84307804587.

It is a happy number.

It is a super-2 number, since 2×785408703482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78540870294 and 78540870303.

It is not an unprimeable number, because it can be changed into a prime (78540870341) 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, 19001290 + ... + 19005422.

It is an arithmetic number, because the mean of its divisors is an integer number (2135624400).

Almost surely, 278540870348 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 78540870348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102509971200).

78540870348 is an abundant number, since it is smaller than the sum of its proper divisors (126479072052).

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

78540870348 is a wasteful number, since it uses less digits than its factorization.

78540870348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 78540870348 in words is "seventy-eight billion, five hundred forty million, eight hundred seventy thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 358 537 716 983 1074 1611 1966 2148 2949 3222 3932 4133 4833 5898 6444 8266 8847 9666 11796 12399 16532 17694 19332 24798 26541 35388 37197 49596 53082 74394 106164 111591 148788 175957 223182 351914 446364 527871 703828 739807 1055742 1479614 1583613 2111484 2219421 2959228 3167226 4062739 4438842 4750839 6334452 6658263 8125478 8877684 9501678 12188217 13316526 16250956 19003356 19974789 24376434 26633052 36564651 39949578 48752868 73129302 79899156 109693953 146258604 219387906 438775812 727230281 1454460562 2181690843 2908921124 4363381686 6545072529 8726763372 13090145058 19635217587 26180290116 39270435174 78540870348