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742070157105752 = 235911185271405583
BaseRepresentation
bin1010100010111010001010110…
…0000111001101101001011000
310121022110012210010221210201122
42220232202230013031221120
51234231034140204341002
611150130153550504412
7312206541160530236
oct25056425407155130
93538405703853648
10742070157105752
111a54a0205a58a02
126b28a202205108
1325b0abb96152c7
14d13655c839956
155abce3397c6a2
hex2a2e8ac1cda58

742070157105752 has 32 divisors (see below), whose sum is σ = 1414966554316800. Its totient is φ = 364745762814624.

The previous prime is 742070157105713. The next prime is 742070157105791. The reversal of 742070157105752 is 257501751070247.

It is an interprime number because it is at equal distance from previous prime (742070157105713) and next prime (742070157105791).

It is a super-4 number, since 4×7420701571057524 (a number of 61 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 742070157105694 and 742070157105703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527241953 + ... + 528647535.

It is an arithmetic number, because the mean of its divisors is an integer number (44217704822400).

Almost surely, 2742070157105752 is an apocalyptic number.

It is an amenable number.

742070157105752 is a deficient number, since it is larger than the sum of its proper divisors (672896397211048).

742070157105752 is a wasteful number, since it uses less digits than its factorization.

742070157105752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524175 (or 2524171 counting only the distinct ones).

The product of its (nonzero) digits is 4802000, while the sum is 53.

The spelling of 742070157105752 in words is "seven hundred forty-two trillion, seventy billion, one hundred fifty-seven million, one hundred five thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 59 118 236 472 1118527 1405583 2237054 2811166 4474108 5622332 8948216 11244664 65993093 82929397 131986186 165858794 263972372 331717588 527944744 663435176 1572182536241 3144365072482 6288730144964 12577460289928 92758769638219 185517539276438 371035078552876 742070157105752