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61624155996 = 22331348790127
BaseRepresentation
bin111001011001000101…
…011111111101011100
312220001200201110221000
4321121011133331130
52002201240442441
644150523310300
74311050453244
oct713105377534
9186050643830
1061624155996
1124153258547
12bb3997b390
135a7109cc40
142da8474b24
15190a1242b6
hexe5915ff5c

61624155996 has 96 divisors (see below), whose sum is σ = 172411258880. Its totient is φ = 18922133952.

The previous prime is 61624155991. The next prime is 61624156019. The reversal of 61624155996 is 69955142616.

61624155996 is a `hidden beast` number, since 6 + 1 + 6 + 2 + 41 + 5 + 599 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61624155991) 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, 638685 + ... + 728811.

Almost surely, 261624155996 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 61624155996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86205629440).

61624155996 is an abundant number, since it is smaller than the sum of its proper divisors (110787102884).

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

61624155996 is a wasteful number, since it uses less digits than its factorization.

61624155996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90640 (or 90632 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 61624155996 in words is "sixty-one billion, six hundred twenty-four million, one hundred fifty-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 487 702 974 1404 1461 1948 2922 4383 5844 6331 8766 12662 13149 17532 18993 25324 26298 37986 52596 56979 75972 90127 113958 170937 180254 227916 270381 341874 360508 540762 683748 811143 1081524 1171651 1622286 2343302 2433429 3244572 3514953 4686604 4866858 7029906 9733716 10544859 14059812 21089718 31634577 42179436 43891849 63269154 87783698 126538308 131675547 175567396 263351094 395026641 526702188 570594037 790053282 1141188074 1185079923 1580106564 1711782111 2282376148 2370159846 3423564222 4740319692 5135346333 6847128444 10270692666 15406038999 20541385332 30812077998 61624155996