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23805835248 = 24313418771061
BaseRepresentation
bin10110001010111100…
…000011011111110000
32021110001212201201210
4112022330003133300
5342223243211443
614534121400120
71501634155326
oct261274033760
967401781653
1023805835248
11a106856408
124744639040
132325006060
14121b935d16
15944e3ac33
hex58af037f0

23805835248 has 160 divisors (see below), whose sum is σ = 67985773632. Its totient is φ = 7131340800.

The previous prime is 23805835237. The next prime is 23805835253. The reversal of 23805835248 is 84253850832.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 23805835197 and 23805835206.

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, 22436638 + ... + 22437698.

Almost surely, 223805835248 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 23805835248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33992886816).

23805835248 is an abundant number, since it is smaller than the sum of its proper divisors (44179938384).

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

23805835248 is a wasteful number, since it uses less digits than its factorization.

23805835248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 23805835248 in words is "twenty-three billion, eight hundred five million, eight hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 877 984 1061 1066 1599 1754 1968 2122 2132 2631 3183 3198 3508 4244 4264 5262 6366 6396 7016 8488 8528 10524 11401 12732 12792 13793 14032 16976 21048 22802 25464 25584 27586 34203 35957 41379 42096 43501 45604 50928 55172 68406 71914 82758 87002 91208 107871 110344 130503 136812 143828 165516 174004 182416 215742 220688 261006 273624 287656 331032 348008 431484 467441 522012 547248 565513 575312 662064 696016 862968 930497 934882 1044024 1131026 1402323 1696539 1725936 1860994 1869764 2088048 2262052 2791491 2804646 3393078 3721988 3739528 4524104 5582982 5609292 6786156 7443976 7479056 9048208 11165964 11218584 12096461 13572312 14887952 22331928 22437168 24192922 27144624 36289383 38150377 44663856 48385844 72578766 76300754 96771688 114451131 145157532 152601508 193543376 228902262 290315064 305203016 457804524 495954901 580630128 610406032 915609048 991909802 1487864703 1831218096 1983819604 2975729406 3967639208 5951458812 7935278416 11902917624 23805835248