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42738073700 = 22527197145259
BaseRepresentation
bin100111110011011000…
…110100000001100100
311002022111020002111112
4213303120310001210
51200011421324300
631344505124152
73042042426650
oct476330640144
9132274202445
1042738073700
111714158a373
128348a89658
134051409b0a
1420d60b1a60
1511a208ce35
hex9f3634064

42738073700 has 144 divisors (see below), whose sum is σ = 113142758400. Its totient is φ = 13686019200.

The previous prime is 42738073687. The next prime is 42738073711. The reversal of 42738073700 is 737083724.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 921671 + ... + 966929.

It is an arithmetic number, because the mean of its divisors is an integer number (785713600).

Almost surely, 242738073700 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 42738073700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56571379200).

42738073700 is an abundant number, since it is smaller than the sum of its proper divisors (70404684700).

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

42738073700 is a wasteful number, since it uses less digits than its factorization.

42738073700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45370 (or 45363 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 42738073700 in words is "forty-two billion, seven hundred thirty-eight million, seventy-three thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 71 76 95 100 133 140 142 175 190 266 284 350 355 380 475 497 532 665 700 710 950 994 1330 1349 1420 1775 1900 1988 2485 2660 2698 3325 3550 4970 5396 6650 6745 7100 9443 9940 12425 13300 13490 18886 24850 26980 33725 37772 45259 47215 49700 67450 90518 94430 134900 181036 188860 226295 236075 316813 452590 472150 633626 859921 905180 944300 1131475 1267252 1584065 1719842 2262950 3168130 3213389 3439684 4299605 4525900 6019447 6336260 6426778 7920325 8599210 12038894 12853556 15840650 16066945 17198420 21498025 22493723 24077788 30097235 31681300 32133890 42996050 44987446 60194470 61054391 64267780 80334725 85992100 89974892 112468615 120388940 122108782 150486175 160669450 224937230 244217564 300972350 305271955 321338900 427380737 449874460 562343075 601944700 610543910 854761474 1124686150 1221087820 1526359775 1709522948 2136903685 2249372300 3052719550 4273807370 6105439100 8547614740 10684518425 21369036850 42738073700