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23848834000 = 245347534787
BaseRepresentation
bin10110001101100000…
…000101001111010000
32021120001210021221011
4112031200011033100
5342320300142000
614542255140304
71502665513165
oct261540051720
967501707834
1023848834000
11a129054a72
124756b14694
132330bac7c4
14122352a06c
15948ad12ba
hex58d8053d0

23848834000 has 160 divisors (see below), whose sum is σ = 60017158656. Its totient is φ = 9158489600.

The previous prime is 23848833973. The next prime is 23848834001. The reversal of 23848834000 is 43884832.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23848834001) 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, 4979607 + ... + 4984393.

Almost surely, 223848834000 is an apocalyptic number.

23848834000 is a gapful number since it is divisible by the number (20) 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 23848834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008579328).

23848834000 is an abundant number, since it is smaller than the sum of its proper divisors (36168324656).

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

23848834000 is a wasteful number, since it uses less digits than its factorization.

23848834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 23848834000 in words is "twenty-three billion, eight hundred forty-eight million, eight hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 53 80 94 100 106 125 188 200 212 235 250 265 376 400 424 470 500 530 752 848 940 1000 1060 1175 1325 1880 2000 2120 2350 2491 2650 3760 4240 4700 4787 4982 5300 5875 6625 9400 9574 9964 10600 11750 12455 13250 18800 19148 19928 21200 23500 23935 24910 26500 38296 39856 47000 47870 49820 53000 62275 76592 94000 95740 99640 106000 119675 124550 191480 199280 224989 239350 249100 253711 311375 382960 449978 478700 498200 507422 598375 622750 899956 957400 996400 1014844 1124945 1196750 1245500 1268555 1799912 1914800 2029688 2249890 2393500 2491000 2537110 3599824 4059376 4499780 4787000 4982000 5074220 5624725 6342775 8999560 9574000 10148440 11249450 11924417 12685550 17999120 20296880 22498900 23848834 25371100 28123625 31713875 44997800 47697668 50742200 56247250 59622085 63427750 89995600 95395336 101484400 112494500 119244170 126855500 190790672 224989000 238488340 253711000 298110425 449978000 476976680 507422000 596220850 953953360 1192441700 1490552125 2384883400 2981104250 4769766800 5962208500 11924417000 23848834000