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42929325600 = 2535272555317
BaseRepresentation
bin100111111110110010…
…011000011000100000
311002210211002200210020
4213332302120120200
51200404401404400
631415500233440
73046554150450
oct477662303040
9132724080706
1042929325600
111722a537797
1283a0b3b880
134081c20315
142113657d60
1511b3c6a2a0
hex9fec98620

42929325600 has 144 divisors (see below), whose sum is σ = 159697153728. Its totient is φ = 9812413440.

The previous prime is 42929325589. The next prime is 42929325611. The reversal of 42929325600 is 652392924.

It is an interprime number because it is at equal distance from previous prime (42929325589) and next prime (42929325611).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 1260859 + ... + 1294458.

It is an arithmetic number, because the mean of its divisors is an integer number (1109008012).

Almost surely, 242929325600 is an apocalyptic number.

42929325600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42929325600 is an abundant number, since it is smaller than the sum of its proper divisors (116767828128).

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

42929325600 is a wasteful number, since it uses less digits than its factorization.

42929325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555347 (or 2555334 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 42929325600 in words is "forty-two billion, nine hundred twenty-nine million, three hundred twenty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 2555317 5110634 7665951 10221268 12776585 15331902 17887219 20442536 25553170 30663804 35774438 38329755 40885072 51106340 53661657 61327608 63882925 71548876 76659510 81770144 89436095 102212680 107323314 122655216 127765850 143097752 153319020 178872190 191648775 204425360 214646628 245310432 255531700 268308285 286195504 306638040 357744380 383297550 408850720 429293256 447180475 511063400 536616570 572391008 613276080 715488760 766595100 858586512 894360950 1022126800 1073233140 1226552160 1341541425 1430977520 1533190200 1717173024 1788721900 2044253600 2146466280 2683082850 2861955040 3066380400 3577443800 4292932560 5366165700 6132760800 7154887600 8585865120 10732331400 14309775200 21464662800 42929325600