Search a number
-
+
10145307072 = 26364518191
BaseRepresentation
bin10010111001011010…
…10001100111000000
3222012001011222221210
421130231101213000
5131234144311242
64354413050120
7506260454505
oct113455214700
928161158853
1010145307072
1143368413aa
121b71786940
13c58b352a4
146c35894ac
153e5a11d9c
hex25cb519c0

10145307072 has 56 divisors (see below), whose sum is σ = 26850230272. Its totient is φ = 3380832000.

The previous prime is 10145307037. The next prime is 10145307083. The reversal of 10145307072 is 27070354101.

It is a congruent number.

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, 1234497 + ... + 1242687.

Almost surely, 210145307072 is an apocalyptic number.

10145307072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10145307072 is an abundant number, since it is smaller than the sum of its proper divisors (16704923200).

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

10145307072 is an equidigital number, since it uses as much as digits as its factorization.

10145307072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14657 (or 14647 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 10145307072 in words is "ten billion, one hundred forty-five million, three hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 6451 8191 12902 16382 19353 24573 25804 32764 38706 49146 51608 65528 77412 98292 103216 131056 154824 196584 206432 262112 309648 393168 412864 524224 619296 786336 1238592 1572672 52840141 105680282 158520423 211360564 317040846 422721128 634081692 845442256 1268163384 1690884512 2536326768 3381769024 5072653536 10145307072