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48102121680 = 2435414888427
BaseRepresentation
bin101100110011000111…
…000010000011010000
311121011022121222000020
4230303013002003100
51242003120343210
634033043223440
73322005200544
oct546307020320
9147138558006
1048102121680
1119444436a78
1293a5377b80
1346c77ccac2
142484659a24
1513b7e55770
hexb331c20d0

48102121680 has 80 divisors (see below), whose sum is σ = 152753598144. Its totient is φ = 12514370560.

The previous prime is 48102121667. The next prime is 48102121729. The reversal of 48102121680 is 8612120184.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×481021216803 (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2434374 + ... + 2454053.

Almost surely, 248102121680 is an apocalyptic number.

48102121680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48102121680 is an abundant number, since it is smaller than the sum of its proper divisors (104651476464).

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

48102121680 is a wasteful number, since it uses less digits than its factorization.

48102121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888484 (or 4888478 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 48102121680 in words is "forty-eight billion, one hundred two million, one hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 4888427 9776854 14665281 19553708 24442135 29330562 39107416 48884270 58661124 73326405 78214832 97768540 117322248 146652810 195537080 200425507 234644496 293305620 391074160 400851014 586611240 601276521 801702028 1002127535 1173222480 1202553042 1603404056 2004255070 2405106084 3006382605 3206808112 4008510140 4810212168 6012765210 8017020280 9620424336 12025530420 16034040560 24051060840 48102121680