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49001724460 = 225131724571427
BaseRepresentation
bin101101101000101110…
…101111101000101100
311200111000101112000201
4231220232233220230
51300323420140320
634302221003244
73353210533303
oct555056575054
9150430345021
1049001724460
1119866217947
1295b66b3524
13480bcb7740
14252bd1143a
15141be0470a
hexb68bafa2c

49001724460 has 144 divisors (see below), whose sum is σ = 118061796384. Its totient is φ = 16979484672.

The previous prime is 49001724439. The next prime is 49001724461. The reversal of 49001724460 is 6442710094.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (49001724461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34338267 + ... + 34339693.

It is an arithmetic number, because the mean of its divisors is an integer number (819873586).

Almost surely, 249001724460 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 49001724460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59030898192).

49001724460 is an abundant number, since it is smaller than the sum of its proper divisors (69060071924).

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

49001724460 is a wasteful number, since it uses less digits than its factorization.

49001724460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 49001724460 in words is "forty-nine billion, one million, seven hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 289 340 442 457 578 884 914 1105 1156 1427 1445 1828 2210 2285 2854 2890 3757 4420 4570 5708 5780 5941 7135 7514 7769 9140 11882 14270 15028 15538 18551 18785 23764 24259 28540 29705 31076 37102 37570 38845 48518 59410 74204 75140 77690 92755 97036 100997 118820 121295 132073 155380 185510 201994 242590 264146 315367 371020 403988 412403 485180 504985 528292 630734 652139 660365 824806 1009970 1261468 1304278 1320730 1576835 1649612 1716949 2019940 2062015 2608556 2641460 3153670 3260695 3433898 4124030 5361239 6307340 6521390 6867796 8248060 8477807 8584745 10722478 11086363 13042780 16955614 17169490 21444956 22172726 26806195 33911228 34338980 42389035 44345452 53612390 55431815 84778070 107224780 110863630 144122719 169556140 188468171 221727260 288245438 376936342 576490876 720613595 753872684 942340855 1441227190 1884681710 2450086223 2882454380 3769363420 4900172446 9800344892 12250431115 24500862230 49001724460