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4939617984 = 26376160251
BaseRepresentation
bin1001001100110110…
…01001011011000000
3110202020202121000020
410212123021123000
540104020233414
62134053053440
7233260026420
oct44633113300
913666677006
104939617984
112105316114
12b5a327280
136094a9aa2
1434c064480
151dd9ca7a9
hex1266c96c0

4939617984 has 112 divisors (see below), whose sum is σ = 15181575936. Its totient is φ = 1388160000.

The previous prime is 4939617983. The next prime is 4939617997. The reversal of 4939617984 is 4897169394.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4939617983) 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, 51859 + ... + 112109.

Almost surely, 24939617984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4939617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7590787968).

4939617984 is an abundant number, since it is smaller than the sum of its proper divisors (10241957952).

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

4939617984 is a wasteful number, since it uses less digits than its factorization.

4939617984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60334 (or 60324 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 60.

The square root of 4939617984 is about 70282.4158947315. The cubic root of 4939617984 is about 1703.0645971470.

The spelling of 4939617984 in words is "four billion, nine hundred thirty-nine million, six hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 854 976 1281 1344 1464 1708 1952 2562 2928 3416 3904 5124 5856 6832 10248 11712 13664 20496 27328 40992 60251 81984 120502 180753 241004 361506 421757 482008 723012 843514 964016 1265271 1446024 1687028 1928032 2530542 2892048 3374056 3675311 3856064 5061084 5784096 6748112 7350622 10122168 11025933 11568192 13496224 14701244 20244336 22051866 25727177 26992448 29402488 40488672 44103732 51454354 58804976 77181531 80977344 88207464 102908708 117609952 154363062 176414928 205817416 235219904 308726124 352829856 411634832 617452248 705659712 823269664 1234904496 1646539328 2469808992 4939617984