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104009816226472 = 231319336857140593
BaseRepresentation
bin10111101001100010101100…
…001001100011101010101000
3111122021020111220222012110021
4113221202230021203222220
5102113044100423221342
61005113241104330224
730623314130534422
oct2751425411435250
9448236456865407
10104009816226472
1130160351803002
12b7b9971013974
1346061118364c0
141b9815db17812
15c05802436567
hex5e98ac263aa8

104009816226472 has 64 divisors (see below), whose sum is σ = 211115236182480. Its totient is φ = 47754167058432.

The previous prime is 104009816226431. The next prime is 104009816226517. The reversal of 104009816226472 is 274622618900401.

It can be written as a sum of positive squares in 8 ways, for example, as 50878633321476 + 53131182904996 = 7132926^2 + 7289114^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 739723408 + ... + 739864000.

Almost surely, 2104009816226472 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 104009816226472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557618091240).

104009816226472 is an abundant number, since it is smaller than the sum of its proper divisors (107105419956008).

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

104009816226472 is a wasteful number, since it uses less digits than its factorization.

104009816226472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177662 (or 177658 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 104009816226472 in words is "one hundred four trillion, nine billion, eight hundred sixteen million, two hundred twenty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 193 386 772 1544 2509 5018 10036 20072 36857 73714 140593 147428 281186 294856 479141 562372 958282 1124744 1827709 1916564 3655418 3833128 7113401 7310836 14226802 14621672 27134449 28453604 54268898 56907208 92474213 108537796 184948426 217075592 352747837 369896852 705495674 739793704 1410991348 2821982696 5181836201 10363672402 20727344804 41454689608 67363870613 134727741226 269455482452 538910964904 1000094386793 2000188773586 4000377547172 8000755094344 13001227028309 26002454056618 52004908113236 104009816226472