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42738009480 = 23335192082749
BaseRepresentation
bin100111110011011000…
…100100010110001000
311002022111002211102000
4213303120210112020
51200011412300410
631344503511000
73042042041505
oct476330442610
9132274084360
1042738009480
11171415460a1
128348a58460
1340513b680a
1420d60964ac
1511a2078dc0
hex9f3624588

42738009480 has 128 divisors (see below), whose sum is σ = 149958000000. Its totient is φ = 10796965632.

The previous prime is 42738009473. The next prime is 42738009481. The reversal of 42738009480 is 8490083724.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42738009481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020855 + ... + 1061894.

It is an arithmetic number, because the mean of its divisors is an integer number (1171546875).

Almost surely, 242738009480 is an apocalyptic number.

42738009480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42738009480 is an abundant number, since it is smaller than the sum of its proper divisors (107219990520).

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

42738009480 is a wasteful number, since it uses less digits than its factorization.

42738009480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082788 (or 2082778 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 42738009480 in words is "forty-two billion, seven hundred thirty-eight million, nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 2082749 4165498 6248247 8330996 10413745 12496494 16661992 18744741 20827490 24992988 31241235 37489482 39572231 41654980 49985976 56234223 62482470 74978964 79144462 83309960 93723705 112468446 118716693 124964940 149957928 158288924 187447410 197861155 224936892 237433386 249929880 281171115 316577848 356150079 374894820 395722310 449873784 474866772 562342230 593583465 712300158 749789640 791444620 949733544 1068450237 1124684460 1187166930 1424600316 1582889240 1780750395 2136900474 2249368920 2374333860 2849200632 3561500790 4273800948 4748667720 5342251185 7123001580 8547601896 10684502370 14246003160 21369004740 42738009480