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11731539840 = 27359376521
BaseRepresentation
bin10101110110100000…
…10001011110000000
31010021120221222020120
422323100101132000
5143011233233330
65220035340240
7563501305026
oct127320213600
933246858216
1011731539840
114a8016a579
122334a51680
13114c65a867
147d40d8716
15489de1c10
hex2bb411780

11731539840 has 128 divisors (see below), whose sum is σ = 37439932320. Its totient is φ = 3124592640.

The previous prime is 11731539829. The next prime is 11731539847. The reversal of 11731539840 is 4893513711.

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

It is a junction number, because it is equal to n+sod(n) for n = 11731539792 and 11731539801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11731539847) 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, 1795780 + ... + 1802300.

Almost surely, 211731539840 is an apocalyptic number.

11731539840 is a gapful number since it is divisible by the number (10) 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 11731539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18719966160).

11731539840 is an abundant number, since it is smaller than the sum of its proper divisors (25708392480).

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

11731539840 is an equidigital number, since it uses as much as digits as its factorization.

11731539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 11731539840 in words is "eleven billion, seven hundred thirty-one million, five hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 937 960 1874 1920 2811 3748 4685 5622 6521 7496 9370 11244 13042 14055 14992 18740 19563 22488 26084 28110 29984 32605 37480 39126 44976 52168 56220 59968 65210 74960 78252 89952 97815 104336 112440 119936 130420 149920 156504 179904 195630 208672 224880 260840 299840 313008 359808 391260 417344 449760 521680 599680 626016 782520 834688 899520 1043360 1252032 1565040 1799040 2086720 2504064 3130080 4173440 6110177 6260160 12220354 12520320 18330531 24440708 30550885 36661062 48881416 61101770 73322124 91652655 97762832 122203540 146644248 183305310 195525664 244407080 293288496 366610620 391051328 488814160 586576992 733221240 782102656 977628320 1173153984 1466442480 1955256640 2346307968 2932884960 3910513280 5865769920 11731539840