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42724634620 = 225193121117189
BaseRepresentation
bin100111110010100101…
…100010111111111100
311002021112221022112211
4213302211202333330
51200000001301440
631343305110204
73041520254653
oct476245427774
9132245838484
1042724634620
1117134a40398
128344488364
13404b6b2ab5
1420d43b419a
1511a0cd5eea
hex9f2962ffc

42724634620 has 96 divisors (see below), whose sum is σ = 97958246400. Its totient is φ = 15592953600.

The previous prime is 42724634609. The next prime is 42724634663. The reversal of 42724634620 is 2643642724.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2476986 + ... + 2494174.

It is an arithmetic number, because the mean of its divisors is an integer number (1020398400).

Almost surely, 242724634620 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 42724634620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48979123200).

42724634620 is an abundant number, since it is smaller than the sum of its proper divisors (55233611780).

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

42724634620 is a wasteful number, since it uses less digits than its factorization.

42724634620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17459 (or 17457 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 42724634620 in words is "forty-two billion, seven hundred twenty-four million, six hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 211 310 380 422 589 620 844 1055 1178 2110 2356 2945 4009 4220 5890 6541 8018 11780 13082 16036 17189 20045 26164 32705 34378 40090 65410 68756 80180 85945 124279 130820 171890 248558 326591 343780 497116 532859 621395 653182 1065718 1242790 1306364 1632955 2131436 2485580 2664295 3265910 3626879 5328590 6531820 7253758 10124321 10657180 14507516 18134395 20248642 36268790 40497284 50621605 68910701 72537580 101243210 112433249 137821402 202486420 224866498 275642804 344553505 449732996 562166245 689107010 1124332490 1378214020 2136231731 2248664980 4272463462 8544926924 10681158655 21362317310 42724634620