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42237781152 = 2537173363317
BaseRepresentation
bin100111010101100100…
…010110010010100000
311001000121211121010220
4213111210112102200
51143000332444102
631223114123040
73023456134050
oct472544262240
9131017747126
1042237781152
1116a05143156
128229420480
133ca1881818
142089881560
1511731b81bc
hex9d59164a0

42237781152 has 96 divisors (see below), whose sum is σ = 127446141312. Its totient is φ = 11998147584.

The previous prime is 42237781129. The next prime is 42237781211. The reversal of 42237781152 is 25118773224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65403 + ... + 297914.

It is an arithmetic number, because the mean of its divisors is an integer number (1327563972).

Almost surely, 242237781152 is an apocalyptic number.

42237781152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42237781152 is an abundant number, since it is smaller than the sum of its proper divisors (85208360160).

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

42237781152 is a wasteful number, since it uses less digits than its factorization.

42237781152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363510 (or 363502 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The spelling of 42237781152 in words is "forty-two billion, two hundred thirty-seven million, seven hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 173 224 336 346 519 672 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 5536 7266 8304 9688 14532 16608 19376 29064 38752 58128 116256 363317 726634 1089951 1453268 2179902 2543219 2906536 4359804 5086438 5813072 7629657 8719608 10172876 11626144 15259314 17439216 20345752 30518628 34878432 40691504 61037256 62853841 81383008 122074512 125707682 188561523 244149024 251415364 377123046 439976887 502830728 754246092 879953774 1005661456 1319930661 1508492184 1759907548 2011322912 2639861322 3016984368 3519815096 5279722644 6033968736 7039630192 10559445288 14079260384 21118890576 42237781152