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49074070760 = 235111323935897
BaseRepresentation
bin101101101101000010…
…101110010011101000
311200200001112002111022
4231231002232103220
51301000430231020
634313323352012
73355046501411
oct555502562350
9150601462438
1049074070760
11198a3040780
129616982608
134820c981c0
142537784808
151423445625
hexb6d0ae4e8

49074070760 has 128 divisors (see below), whose sum is σ = 130266662400. Its totient is φ = 16403036160.

The previous prime is 49074070723. The next prime is 49074070763. The reversal of 49074070760 is 6707047094.

49074070760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (49074070763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349132 + ... + 1385028.

It is an arithmetic number, because the mean of its divisors is an integer number (1017708300).

Almost surely, 249074070760 is an apocalyptic number.

49074070760 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 49074070760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65133331200).

49074070760 is an abundant number, since it is smaller than the sum of its proper divisors (81192591640).

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

49074070760 is a wasteful number, since it uses less digits than its factorization.

49074070760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36171 (or 36167 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 49074070760 in words is "forty-nine billion, seventy-four million, seventy thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 239 260 286 440 478 520 572 715 956 1144 1195 1430 1912 2390 2629 2860 3107 4780 5258 5720 6214 9560 10516 12428 13145 15535 21032 24856 26290 31070 34177 35897 52580 62140 68354 71794 105160 124280 136708 143588 170885 179485 273416 287176 341770 358970 394867 466661 683540 717940 789734 933322 1367080 1435880 1579468 1866644 1974335 2333305 3158936 3733288 3948670 4666610 5133271 7897340 8579383 9333220 10266542 15794680 17158766 18666440 20533084 25666355 34317532 41066168 42896915 51332710 68635064 85793830 94373213 102665420 111531979 171587660 188746426 205330840 223063958 343175320 377492852 446127916 471866065 557659895 754985704 892255832 943732130 1115319790 1226851769 1887464260 2230639580 2453703538 3774928520 4461279160 4907407076 6134258845 9814814152 12268517690 24537035380 49074070760