Search a number
-
+
146143764690 = 235721131291547
BaseRepresentation
bin1000100000011011011…
…0001110000011010010
3111222020000021110111120
42020012312032003102
54343300300432230
6151045412023110
713362402334500
oct2100666160322
9458200243446
10146143764690
1156a85388520
12243a7301a96
1310a20685811
147105581670
153c052a6310
hex2206d8e0d2

146143764690 has 192 divisors, whose sum is σ = 459460988928. Its totient is φ = 29387836800.

The previous prime is 146143764631. The next prime is 146143764709. The reversal of 146143764690 is 96467341641.

It is a super-2 number, since 2×1461437646902 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355497 + ... + 647043.

It is an arithmetic number, because the mean of its divisors is an integer number (2393025984).

Almost surely, 2146143764690 is an apocalyptic number.

146143764690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146143764690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229730494464).

146143764690 is an abundant number, since it is smaller than the sum of its proper divisors (313317224238).

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

146143764690 is a wasteful number, since it uses less digits than its factorization.

146143764690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291613 (or 291606 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 146143764690 in words is "one hundred forty-six billion, one hundred forty-three million, seven hundred sixty-four thousand, six hundred ninety".