Search a number
-
+
61498755120 = 24351123294983
BaseRepresentation
bin111001010001100111…
…001000100000110000
312212201221202110021010
4321101213020200300
52001422140130440
644130243430520
74304665536105
oct712147104060
9185657673233
1061498755120
1124099497a60
12bb03985440
135a5110493a
142d95950aac
1518ee103580
hexe519c8830

61498755120 has 80 divisors (see below), whose sum is σ = 207977617152. Its totient is φ = 14908788480.

The previous prime is 61498755107. The next prime is 61498755193. The reversal of 61498755120 is 2155789416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61498755120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11644852 + ... + 11650131.

Almost surely, 261498755120 is an apocalyptic number.

61498755120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61498755120 is an abundant number, since it is smaller than the sum of its proper divisors (146478862032).

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

61498755120 is a wasteful number, since it uses less digits than its factorization.

61498755120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23295010 (or 23295004 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

It can be divided in two parts, 61498 and 755120, that added together give a palindrome (816618).

The spelling of 61498755120 in words is "sixty-one billion, four hundred ninety-eight million, seven hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 23294983 46589966 69884949 93179932 116474915 139769898 186359864 232949830 256244813 279539796 349424745 372719728 465899660 512489626 559079592 698849490 768734439 931799320 1024979252 1118159184 1281224065 1397698980 1537468878 1863598640 2049958504 2562448130 2795397960 3074937756 3843672195 4099917008 5124896260 5590795920 6149875512 7687344390 10249792520 12299751024 15374688780 20499585040 30749377560 61498755120