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48061523840 = 2751110763803
BaseRepresentation
bin101100110000101100…
…001010011110000000
311121001111020101020112
4230300230022132000
51241412222230330
634025033130452
73321003132521
oct546054123600
9147044211215
1048061523840
1119423528240
129393859a28
1346bc287105
14247d0cc848
1513b45d6795
hexb30b0a780

48061523840 has 128 divisors (see below), whose sum is σ = 126515675520. Its totient is φ = 17313310720.

The previous prime is 48061523789. The next prime is 48061523857. The reversal of 48061523840 is 4832516084.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×480615238403 (a number of 33 digits) contains 333 as substring.

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, 721379 + ... + 785181.

It is an arithmetic number, because the mean of its divisors is an integer number (988403715).

Almost surely, 248061523840 is an apocalyptic number.

48061523840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48061523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63257837760).

48061523840 is an abundant number, since it is smaller than the sum of its proper divisors (78454151680).

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

48061523840 is a wasteful number, since it uses less digits than its factorization.

48061523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63940 (or 63928 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 48061523840 in words is "forty-eight billion, sixty-one million, five hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 107 110 128 160 176 214 220 320 352 428 440 535 640 704 856 880 1070 1177 1408 1712 1760 2140 2354 3424 3520 4280 4708 5885 6848 7040 8560 9416 11770 13696 17120 18832 23540 34240 37664 47080 63803 68480 75328 94160 127606 150656 188320 255212 319015 376640 510424 638030 701833 753280 1020848 1276060 1403666 2041696 2552120 2807332 3509165 4083392 5104240 5614664 6826921 7018330 8166784 10208480 11229328 13653842 14036660 20416960 22458656 27307684 28073320 34134605 40833920 44917312 54615368 56146640 68269210 75096131 89834624 109230736 112293280 136538420 150192262 218461472 224586560 273076840 300384524 375480655 436922944 449173120 546153680 600769048 750961310 873845888 1092307360 1201538096 1501922620 2184614720 2403076192 3003845240 4369229440 4806152384 6007690480 9612304768 12015380960 24030761920 48061523840