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248742720060 = 22354396411907
BaseRepresentation
bin1110011110101000111…
…0001011001000111100
3212210001022022102021120
43213222032023020330
513033411114020220
6310134255430540
723654035143402
oct3475216131074
9783038272246
10248742720060
119654486521a
124025b525450
131a5c1760873
14c079851472
15670c766a40
hex39ea38b23c

248742720060 has 48 divisors (see below), whose sum is σ = 712676823936. Its totient is φ = 64788800832.

The previous prime is 248742720001. The next prime is 248742720089. The reversal of 248742720060 is 60027247842.

It is a junction number, because it is equal to n+sod(n) for n = 248742719994 and 248742720021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48203374 + ... + 48208533.

It is an arithmetic number, because the mean of its divisors is an integer number (14847433832).

Almost surely, 2248742720060 is an apocalyptic number.

248742720060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248742720060 is an abundant number, since it is smaller than the sum of its proper divisors (463934103876).

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

248742720060 is a wasteful number, since it uses less digits than its factorization.

248742720060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96411962 (or 96411960 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 248742720060 in words is "two hundred forty-eight billion, seven hundred forty-two million, seven hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 96411907 192823814 289235721 385647628 482059535 578471442 964119070 1156942884 1446178605 1928238140 2892357210 4145712001 5784714420 8291424002 12437136003 16582848004 20728560005 24874272006 41457120010 49748544012 62185680015 82914240020 124371360030 248742720060