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42950000640 = 2163543691
BaseRepresentation
bin101000000000000001…
…010000000000000000
311002212021000002121110
4220000001100000000
51200430200010030
631421515323320
73050224660521
oct500001200000
9132767002543
1042950000640
11172401791a8
1283a7a50540
1340862aba81
1421162ba848
1511b59a11b0
hexa00050000

42950000640 has 136 divisors (see below), whose sum is σ = 137442099168. Its totient is φ = 11453071360.

The previous prime is 42950000609. The next prime is 42950000641. The reversal of 42950000640 is 4600005924.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 42950000598 and 42950000607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42950000641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 961195 + ... + 1004885.

Almost surely, 242950000640 is an apocalyptic number.

42950000640 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 42950000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68721049584).

42950000640 is an abundant number, since it is smaller than the sum of its proper divisors (94492098528).

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

42950000640 is an frugal number, since it uses more digits than its factorization.

42950000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43731 (or 43701 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 42950000640 in words is "forty-two billion, nine hundred fifty million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 32768 40960 43691 49152 61440 65536 81920 87382 98304 122880 131073 163840 174764 196608 218455 245760 262146 327680 349528 436910 491520 524292 655365 699056 873820 983040 1048584 1310730 1398112 1747640 2097168 2621460 2796224 3495280 4194336 5242920 5592448 6990560 8388672 10485840 11184896 13981120 16777344 20971680 22369792 27962240 33554688 41943360 44739584 55924480 67109376 83886720 89479168 111848960 134218752 167773440 178958336 223697920 268437504 335546880 357916672 447395840 536875008 671093760 715833344 894791680 1073750016 1342187520 1431666688 1789583360 2147500032 2684375040 2863333376 3579166720 4295000064 5368750080 7158333440 8590000128 10737500160 14316666880 21475000320 42950000640