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105031478784 = 29368379869
BaseRepresentation
bin110000111010001011…
…1010010111000000000
3101001002211020221120210
41201310113102320000
53210101024310114
6120130101034120
710405530560601
oct1416427227000
9331084227523
10105031478784
11405a8593631
12184329b5940
139b9b04041b
145125397da8
152aead0d259
hex18745d2e00

105031478784 has 40 divisors (see below), whose sum is σ = 279810428040. Its totient is φ = 35010492416.

The previous prime is 105031478719. The next prime is 105031478821. The reversal of 105031478784 is 487874130501.

It is a super-2 number, since 2×1050314787842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34188399 + ... + 34191470.

It is an arithmetic number, because the mean of its divisors is an integer number (6995260701).

Almost surely, 2105031478784 is an apocalyptic number.

It is an amenable number.

105031478784 is an abundant number, since it is smaller than the sum of its proper divisors (174778949256).

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

105031478784 is an frugal number, since it uses more digits than its factorization.

105031478784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68379890 (or 68379874 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 105031478784 in words is "one hundred five billion, thirty-one million, four hundred seventy-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 68379869 136759738 205139607 273519476 410279214 547038952 820558428 1094077904 1641116856 2188155808 3282233712 4376311616 6564467424 8752623232 13128934848 17505246464 26257869696 35010492928 52515739392 105031478784