Search a number
-
+
511555046353140 = 2235195919738607287
BaseRepresentation
bin111010001010000011011000…
…0110100100010100011110100
32111002021011222201212111201110
41310110012300310202203310
51014022304213331300030
65011553051034555020
7212515426634406306
oct16424066064424364
92432234881774643
10511555046353140
11138aa73054aa009
124945a965b98a70
1318c595843135aa
149047579831976
153e21ac25e11b0
hex1d141b0d228f4

511555046353140 has 192 divisors, whose sum is σ = 1541079393638400. Its totient is φ = 126399636647424.

The previous prime is 511555046353111. The next prime is 511555046353193. The reversal of 511555046353140 is 41353640555115.

It is a self number, because there is not a number n which added to its sum of digits gives 511555046353140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6053424 + ... + 32553863.

It is an arithmetic number, because the mean of its divisors is an integer number (8026455175200).

Almost surely, 2511555046353140 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 511555046353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770539696819200).

511555046353140 is an abundant number, since it is smaller than the sum of its proper divisors (1029524347285260).

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

511555046353140 is a wasteful number, since it uses less digits than its factorization.

511555046353140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38607574 (or 38607572 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 48.

The spelling of 511555046353140 in words is "five hundred eleven trillion, five hundred fifty-five billion, forty-six million, three hundred fifty-three thousand, one hundred forty".