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46103023104 = 293436111443
BaseRepresentation
bin101010111011111101…
…000100111000000000
311101222222222020022020
4222323331010320000
51223404333214404
633102431441440
73221322142035
oct527375047000
9141888866266
1046103023104
1118608a55696
128b27986280
1344695acb38
142334d5738c
1512ec6beed9
hexabbf44e00

46103023104 has 160 divisors (see below), whose sum is σ = 127749097344. Its totient is φ = 14762926080.

The previous prime is 46103023079. The next prime is 46103023177. The reversal of 46103023104 is 40132030164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4023207 + ... + 4034649.

Almost surely, 246103023104 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 46103023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63874548672).

46103023104 is an abundant number, since it is smaller than the sum of its proper divisors (81646074240).

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

46103023104 is a wasteful number, since it uses less digits than its factorization.

46103023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11568 (or 11552 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 46103023104 its reverse (40132030164), we get a palindrome (86235053268).

The spelling of 46103023104 in words is "forty-six billion, one hundred three million, twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 61 64 86 96 122 128 129 172 183 192 244 256 258 344 366 384 488 512 516 688 732 768 976 1032 1376 1464 1536 1952 2064 2623 2752 2928 3904 4128 5246 5504 5856 7808 7869 8256 10492 11008 11443 11712 15616 15738 16512 20984 22016 22886 23424 31232 31476 33024 34329 41968 45772 46848 62952 66048 68658 83936 91544 93696 125904 137316 167872 183088 251808 274632 335744 366176 492049 503616 549264 671488 698023 732352 984098 1007232 1098528 1342976 1396046 1464704 1476147 1968196 2014464 2094069 2197056 2792092 2929408 2952294 3936392 4028928 4188138 4394112 5584184 5858816 5904588 7872784 8376276 8788224 11168368 11809176 15745568 16752552 17576448 22336736 23618352 30014989 31491136 33505104 44673472 47236704 60029978 62982272 67010208 89346944 90044967 94473408 120059956 125964544 134020416 178693888 180089934 188946816 240119912 251929088 268040832 357387776 360179868 377893632 480239824 536081664 720359736 755787264 960479648 1072163328 1440719472 1920959296 2881438944 3841918592 5762877888 7683837184 11525755776 15367674368 23051511552 46103023104