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42257683720 = 2357378774651
BaseRepresentation
bin100111010110110000…
…010001010100001000
311001002000021202100001
4213112300101110020
51143020431334340
631225104452344
73024120246040
oct472660212410
9131060252301
1042257683720
1116a153a725a
12823401a0b4
133ca5a2c7a5
14208c382720
151174cea29a
hex9d6c11508

42257683720 has 128 divisors (see below), whose sum is σ = 111750716160. Its totient is φ = 14077670400.

The previous prime is 42257683687. The next prime is 42257683747. The reversal of 42257683720 is 2738675224.

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, 9083395 + ... + 9088045.

It is an arithmetic number, because the mean of its divisors is an integer number (873052470).

Almost surely, 242257683720 is an apocalyptic number.

42257683720 is a gapful number since it is divisible by the number (40) 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 42257683720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55875358080).

42257683720 is an abundant number, since it is smaller than the sum of its proper divisors (69493032440).

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

42257683720 is a wasteful number, since it uses less digits than its factorization.

42257683720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5583 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 42257683720 in words is "forty-two billion, two hundred fifty-seven million, six hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 877 1036 1295 1480 1754 2072 2590 3508 4385 4651 5180 6139 7016 8770 9302 10360 12278 17540 18604 23255 24556 30695 32449 32557 35080 37208 46510 49112 61390 64898 65114 93020 122780 129796 130228 162245 162785 172087 186040 227143 245560 259592 260456 324490 325570 344174 454286 648980 651140 688348 860435 908572 1135715 1204609 1297960 1302280 1376696 1720870 1817144 2271430 2409218 3441740 4078927 4542860 4818436 6023045 6883480 8157854 9085720 9636872 12046090 16315708 20394635 24092180 28552489 32631416 40789270 48184360 57104978 81578540 114209956 142762445 150920299 163157080 228419912 285524890 301840598 571049780 603681196 754601495 1056442093 1142099560 1207362392 1509202990 2112884186 3018405980 4225768372 5282210465 6036811960 8451536744 10564420930 21128841860 42257683720