Search a number
-
+
45327578013696 = 213311167671261
BaseRepresentation
bin10100100111001101001100…
…01011111010000000000000
312221111021101211212102020110
422103212212023322000000
521420121334432414241
6240223111334311320
712355544432012526
oct1223464613720000
9187437354772213
1045327578013696
1113496355112790
1251009561b8540
131c3a4abb39514
14b29c1b8a8316
1553911acaa816
hex2939a62fa000

45327578013696 has 112 divisors (see below), whose sum is σ = 131853997696608. Its totient is φ = 13735629619200.

The previous prime is 45327578013673. The next prime is 45327578013721. The reversal of 45327578013696 is 69631087572354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83565295 + ... + 84105966.

It is a 1-persistent number, because it is pandigital, but 2⋅45327578013696 = 90655156027392 is not.

Almost surely, 245327578013696 is an apocalyptic number.

It is an amenable number.

45327578013696 is an abundant number, since it is smaller than the sum of its proper divisors (86526419682912).

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

45327578013696 is a wasteful number, since it uses less digits than its factorization.

45327578013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167671301 (or 167671277 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 66.

The spelling of 45327578013696 in words is "forty-five trillion, three hundred twenty-seven billion, five hundred seventy-eight million, thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8192 8448 11264 12288 16896 22528 24576 33792 45056 67584 90112 135168 270336 167671261 335342522 503013783 670685044 1006027566 1341370088 1844383871 2012055132 2682740176 3688767742 4024110264 5365480352 5533151613 7377535484 8048220528 10730960704 11066303226 14755070968 16096441056 21461921408 22132606452 29510141936 32192882112 42923842816 44265212904 59020283872 64385764224 85847685632 88530425808 118040567744 128771528448 171695371264 177060851616 236081135488 257543056896 343390742528 354121703232 472162270976 515086113792 686781485056 708243406464 944324541952 1030172227584 1373562970112 1416486812928 1888649083904 2060344455168 2832973625856 3777298167808 4120688910336 5665947251712 7554596335616 11331894503424 15109192671232 22663789006848 45327578013696