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61410116152 = 237114710121001
BaseRepresentation
bin111001001100010101…
…000000001000111000
312212111202222010110101
4321030111000020320
52001231442204102
644113355525144
74302541242340
oct711425001070
9185452863411
1061410116152
1124053456210
12ba9a1597b4
135a3893b348
142d87c79d20
1518e6444e87
hexe4c540238

61410116152 has 128 divisors (see below), whose sum is σ = 148069140480. Its totient is φ = 23184000000.

The previous prime is 61410116143. The next prime is 61410116179. The reversal of 61410116152 is 25161101416.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 61410116152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2913652 + ... + 2934652.

It is an arithmetic number, because the mean of its divisors is an integer number (1156790160).

Almost surely, 261410116152 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 61410116152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74034570240).

61410116152 is an abundant number, since it is smaller than the sum of its proper divisors (86659024328).

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

61410116152 is a wasteful number, since it uses less digits than its factorization.

61410116152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21173 (or 21169 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

Adding to 61410116152 its reverse (25161101416), we get a palindrome (86571217568).

The spelling of 61410116152 in words is "sixty-one billion, four hundred ten million, one hundred sixteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 56 77 88 94 101 154 188 202 308 329 376 404 517 616 658 707 808 1034 1111 1316 1414 2068 2222 2632 2828 3619 4136 4444 4747 5656 7238 7777 8888 9494 14476 15554 18988 21001 28952 31108 33229 37976 42002 52217 62216 66458 84004 104434 132916 147007 168008 208868 231011 265832 294014 365519 417736 462022 588028 731038 924044 987047 1176056 1462076 1617077 1848088 1974094 2121101 2924152 3234154 3948188 4242202 6468308 6909329 7896376 8484404 10857517 12936616 13818658 14847707 16968808 21715034 23332111 27637316 29695414 43430068 46664222 55274632 59390828 76002619 86860136 93328444 99691747 118781656 152005238 163324777 186656888 199383494 304010476 326649554 398766988 608020952 653299108 697842229 797533976 1096609217 1306598216 1395684458 2193218434 2791368916 4386436868 5582737832 7676264519 8772873736 15352529038 30705058076 61410116152