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136630861952 = 2713479191901
BaseRepresentation
bin111111100111111010…
…1011000000010000000
3111001200001001221012112
41333033311120002000
54214310000040302
6142433425314452
712604561110254
oct1771765300200
9431601057175
10136630861952
1152a43617932
1222591495a28
13cb658835a0
146881db6264
15384a063552
hex1fcfd58080

136630861952 has 128 divisors (see below), whose sum is σ = 299852582400. Its totient is φ = 61619097600.

The previous prime is 136630861951. The next prime is 136630861973. The reversal of 136630861952 is 259168036631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 136630861952.

It is not an unprimeable number, because it can be changed into a prime (136630861951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71872202 + ... + 71874102.

It is an arithmetic number, because the mean of its divisors is an integer number (2342598300).

Almost surely, 2136630861952 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 136630861952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149926291200).

136630861952 is an abundant number, since it is smaller than the sum of its proper divisors (163221720448).

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

136630861952 is a wasteful number, since it uses less digits than its factorization.

136630861952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The spelling of 136630861952 in words is "one hundred thirty-six billion, six hundred thirty million, eight hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 376 416 611 752 832 919 1222 1504 1664 1838 1901 2444 3008 3676 3802 4888 6016 7352 7604 9776 11947 14704 15208 19552 23894 24713 29408 30416 39104 43193 47788 49426 58816 60832 78208 86386 89347 95576 98852 117632 121664 172772 178694 191152 197704 243328 345544 357388 382304 395408 561509 691088 714776 764608 790816 1123018 1161511 1382176 1429552 1529216 1581632 1747019 2246036 2323022 2764352 2859104 3163264 3494038 4492072 4646044 5528704 5718208 6988076 8984144 9292088 11436416 13976152 17968288 18584176 22711247 27952304 35936576 37168352 45422494 55904608 71873152 74336704 82109893 90844988 111809216 148673408 164219786 181689976 223618432 328439572 363379952 656879144 726759904 1067428609 1313758288 1453519808 2134857218 2627516576 2907039616 4269714436 5255033152 8539428872 10510066304 17078857744 34157715488 68315430976 136630861952