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42070076720 = 245775125137
BaseRepresentation
bin100111001011100100…
…100110110100110000
311000120221021022220122
4213023210212310300
51142124414423340
631154323425412
73016351515620
oct471344466460
9130527238818
1042070076720
1116929509351
1281a1225268
133c75bc4329
1420714a8880
1511635dcdb5
hex9cb926d30

42070076720 has 40 divisors (see below), whose sum is σ = 111786205344. Its totient is φ = 14424026112.

The previous prime is 42070076701. The next prime is 42070076767. The reversal of 42070076720 is 2767007024.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

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 7 ways as a sum of consecutive naturals, for example, 37562009 + ... + 37563128.

Almost surely, 242070076720 is an apocalyptic number.

42070076720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42070076720 is an abundant number, since it is smaller than the sum of its proper divisors (69716128624).

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

42070076720 is a wasteful number, since it uses less digits than its factorization.

42070076720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75125157 (or 75125151 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The spelling of 42070076720 in words is "forty-two billion, seventy million, seventy-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 75125137 150250274 300500548 375625685 525875959 601001096 751251370 1051751918 1202002192 1502502740 2103503836 2629379795 3005005480 4207007672 5258759590 6010010960 8414015344 10517519180 21035038360 42070076720