Search a number
-
+
10354505632044 = 2237123267924191
BaseRepresentation
bin1001011010101101100010…
…1000010100100100101100
31100122212210022010021102020
42112223120220110210230
52324122011420211134
634004443315030140
72116042205451120
oct226533050244454
940585708107366
1010354505632044
113332359540412
1211b2932b9b350
135a156c322cc2
1427b237135580
1512e5277e8b49
hex96ad8a1492c

10354505632044 has 24 divisors (see below), whose sum is σ = 27612015019008. Its totient is φ = 2958430180560.

The previous prime is 10354505632033. The next prime is 10354505632049. The reversal of 10354505632044 is 44023650545301.

It is a super-3 number, since 3×103545056320443 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10354505631987 and 10354505632005.

It is not an unprimeable number, because it can be changed into a prime (10354505632049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61633962012 + ... + 61633962179.

It is an arithmetic number, because the mean of its divisors is an integer number (1150500625792).

Almost surely, 210354505632044 is an apocalyptic number.

10354505632044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10354505632044 is an abundant number, since it is smaller than the sum of its proper divisors (17257509386964).

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

10354505632044 is a wasteful number, since it uses less digits than its factorization.

10354505632044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123267924205 (or 123267924203 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 10354505632044 in words is "ten trillion, three hundred fifty-four billion, five hundred five million, six hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 123267924191 246535848382 369803772573 493071696764 739607545146 862875469337 1479215090292 1725750938674 2588626408011 3451501877348 5177252816022 10354505632044