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23154375120 = 2435436136781
BaseRepresentation
bin10101100100000110…
…111011100111010000
32012202200001010102220
4111210012323213100
5334410010000440
614345330341040
71446533640552
oct254406734720
965680033386
1023154375120
11990204a808
1245a242a780
1322500605a6
1411991d54d2
15907b558d0
hex5641bb9d0

23154375120 has 160 divisors (see below), whose sum is σ = 74653924224. Its totient is φ = 5931878400.

The previous prime is 23154375109. The next prime is 23154375157. The reversal of 23154375120 is 2157345132.

It is a super-2 number, since 2×231543751202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611130 + ... + 647910.

Almost surely, 223154375120 is an apocalyptic number.

23154375120 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 23154375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37326962112).

23154375120 is an abundant number, since it is smaller than the sum of its proper divisors (51499549104).

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

23154375120 is a wasteful number, since it uses less digits than its factorization.

23154375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36901 (or 36895 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 23154375120 in words is "twenty-three billion, one hundred fifty-four million, three hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 61 80 86 120 122 129 172 183 215 240 244 258 305 344 366 430 488 516 610 645 688 732 860 915 976 1032 1220 1290 1464 1720 1830 2064 2440 2580 2623 2928 3440 3660 4880 5160 5246 7320 7869 10320 10492 13115 14640 15738 20984 26230 31476 36781 39345 41968 52460 62952 73562 78690 104920 110343 125904 147124 157380 183905 209840 220686 294248 314760 367810 441372 551715 588496 629520 735620 882744 1103430 1471240 1581583 1765488 2206860 2243641 2942480 3163166 4413720 4487282 4744749 6326332 6730923 7907915 8827440 8974564 9489498 11218205 12652664 13461846 15815830 17949128 18978996 22436410 23723745 25305328 26923692 31631660 33654615 35898256 37957992 44872820 47447490 53847384 63263320 67309230 75915984 89745640 94894980 96476563 107694768 126526640 134618460 179491280 189789960 192953126 269236920 289429689 379579920 385906252 482382815 538473840 578859378 771812504 964765630 1157718756 1447148445 1543625008 1929531260 2315437512 2894296890 3859062520 4630875024 5788593780 7718125040 11577187560 23154375120