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48075467640 = 2335739542123
BaseRepresentation
bin101100110001100001…
…010110101101111000
311121002110110210112120
4230301201112231320
51241424304431030
634030252041240
73321232506144
oct546141265570
9147073423476
1048075467640
1119430391442
129398463220
1346c2129a95
142480cbc224
1513b593d010
hexb31856b78

48075467640 has 64 divisors (see below), whose sum is σ = 144421833600. Its totient is φ = 12802753152.

The previous prime is 48075467623. The next prime is 48075467641. The reversal of 48075467640 is 4676457084.

48075467640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480754676403 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48075467641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182382 + ... + 359741.

It is an arithmetic number, because the mean of its divisors is an integer number (2256591150).

Almost surely, 248075467640 is an apocalyptic number.

48075467640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48075467640 is an abundant number, since it is smaller than the sum of its proper divisors (96346365960).

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

48075467640 is a wasteful number, since it uses less digits than its factorization.

48075467640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542876 (or 542872 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 48075467640 in words is "forty-eight billion, seventy-five million, four hundred sixty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 739 1478 2217 2956 3695 4434 5912 7390 8868 11085 14780 17736 22170 29560 44340 88680 542123 1084246 1626369 2168492 2710615 3252738 4336984 5421230 6505476 8131845 10842460 13010952 16263690 21684920 32527380 65054760 400628897 801257794 1201886691 1602515588 2003144485 2403773382 3205031176 4006288970 4807546764 6009433455 8012577940 9615093528 12018866910 16025155880 24037733820 48075467640