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3870455328157 = 1122937110926881
BaseRepresentation
bin111000010100101001000…
…111010110110110011101
3111201000022200112112010011
4320110221013112312131
51001403143031000112
612122021310043221
7546426330316105
oct70245107266635
914630280475104
103870455328157
1112624a6148300
125261537a9511
13220ca0367b62
14d548c51c205
156aa2d0d8aa7
hex385291d6d9d

3870455328157 has 48 divisors (see below), whose sum is σ = 4524192212400. Its totient is φ = 3302343475200.

The previous prime is 3870455328151. The next prime is 3870455328169. The reversal of 3870455328157 is 7518235540783.

It can be written as a sum of positive squares in 8 ways, for example, as 12574033956 + 3857881294201 = 112134^2 + 1964149^2 .

It is not a de Polignac number, because 3870455328157 - 23 = 3870455328149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870455328151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143971357 + ... + 143998237.

It is an arithmetic number, because the mean of its divisors is an integer number (94254004425).

Almost surely, 23870455328157 is an apocalyptic number.

3870455328157 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3870455328157 is a deficient number, since it is larger than the sum of its proper divisors (653736884243).

3870455328157 is a wasteful number, since it uses less digits than its factorization.

3870455328157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28078 (or 28067 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 58.

The spelling of 3870455328157 in words is "three trillion, eight hundred seventy billion, four hundred fifty-five million, three hundred twenty-eight thousand, one hundred fifty-seven".

Divisors: 1 11 29 37 121 319 407 1073 1109 3509 4477 11803 12199 26881 32161 41033 129833 134189 295691 353771 451363 779549 994597 1189957 3252601 3891481 4964993 8575039 10940567 13089527 28843313 29811029 94325429 120346237 143984797 317276443 327921319 864519841 1103008073 3490040873 3607134509 9509718251 12133088803 31987234117 104606900761 133463976833 351859575287 3870455328157