Search a number
-
+
30256054776560 = 245973898976131
BaseRepresentation
bin1101110000100100010010…
…11001011011001011110000
310222010110011110221010121002
412320102021121123023300
512431203400010322220
6144203234545421132
76241633146154604
oct670221131331360
9128113143833532
1030256054776560
119705580169578
1234879ab63a7a8
1313b6197a35462
14768587d89504
1537706944ac75
hex1b848965b2f0

30256054776560 has 40 divisors (see below), whose sum is σ = 71070536934096. Its totient is φ = 11977654671360.

The previous prime is 30256054776553. The next prime is 30256054776569. The reversal of 30256054776560 is 6567745065203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 30256054776496 and 30256054776505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30256054776569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1949480306 + ... + 1949495825.

Almost surely, 230256054776560 is an apocalyptic number.

It is an amenable number.

30256054776560 is an abundant number, since it is smaller than the sum of its proper divisors (40814482157536).

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

30256054776560 is a wasteful number, since it uses less digits than its factorization.

30256054776560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898976241 (or 3898976235 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 56.

The spelling of 30256054776560 in words is "thirty trillion, two hundred fifty-six billion, fifty-four million, seven hundred seventy-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 3898976131 7797952262 15595904524 19494880655 31191809048 38989761310 62383618096 77979522620 155959045240 311918090480 378200684707 756401369414 1512802738828 1891003423535 3025605477656 3782006847070 6051210955312 7564013694140 15128027388280 30256054776560