Search a number
-
+
78441274560 = 2635117428151
BaseRepresentation
bin100100100001101110…
…1101101110011000000
321111110201002121200010
41021003131231303000
52241121431241220
6100011352424520
75444563555365
oct1110335556300
9244421077603
1078441274560
11302a3066640
12132519a8140
137521220a7c
143b21b4a46c
1520917241e0
hex124376dcc0

78441274560 has 112 divisors (see below), whose sum is σ = 271692087552. Its totient is φ = 19016064000.

The previous prime is 78441274487. The next prime is 78441274567. The reversal of 78441274560 is 6547214487.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (78441274567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3703516 + ... + 3724635.

Almost surely, 278441274560 is an apocalyptic number.

It is an amenable number.

78441274560 is an abundant number, since it is smaller than the sum of its proper divisors (193250812992).

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

78441274560 is a wasteful number, since it uses less digits than its factorization.

78441274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428182 (or 7428172 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 78441274560 in words is "seventy-eight billion, four hundred forty-one million, two hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 7428151 14856302 22284453 29712604 37140755 44568906 59425208 74281510 81709661 89137812 111422265 118850416 148563020 163419322 178275624 222844530 237700832 245128983 297126040 326838644 356551248 408548305 445689060 475401664 490257966 594252080 653677288 713102496 817096610 891378120 980515932 1188504160 1225644915 1307354576 1426204992 1634193220 1782756240 1961031864 2377008320 2451289830 2614709152 3268386440 3565512480 3922063728 4902579660 5229418304 6536772880 7131024960 7844127456 9805159320 13073545760 15688254912 19610318640 26147091520 39220637280 78441274560