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157071570006 = 231321747193871
BaseRepresentation
bin1001001001001000110…
…0011111010001010110
3120000102120212111020210
42102102030133101112
510033140310220011
6200054020510250
714230244213301
oct2222214372126
9500376774223
10157071570006
116068289638a
1226536b4b386
1311a72653700
147860a1bb38
1541448346a6
hex249231f456

157071570006 has 96 divisors (see below), whose sum is σ = 367841875968. Its totient is φ = 44518755840.

The previous prime is 157071569933. The next prime is 157071570043. The reversal of 157071570006 is 600075170751.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 713251 + ... + 907121.

It is an arithmetic number, because the mean of its divisors is an integer number (3831686208).

Almost surely, 2157071570006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157071570006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183920937984).

157071570006 is an abundant number, since it is smaller than the sum of its proper divisors (210770305962).

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

157071570006 is a wasteful number, since it uses less digits than its factorization.

157071570006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193966 (or 193953 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 39.

The spelling of 157071570006 in words is "one hundred fifty-seven billion, seventy-one million, five hundred seventy thousand, six".

Divisors: 1 2 3 6 13 17 26 34 39 47 51 78 94 102 141 169 221 282 338 442 507 611 663 799 1014 1222 1326 1598 1833 2397 2873 3666 4794 5746 7943 8619 10387 15886 17238 20774 23829 31161 47658 62322 135031 193871 270062 387742 405093 581613 810186 1163226 2520323 3295807 5040646 6591614 7560969 9111937 9887421 15121938 18223874 19774842 27335811 32764199 42845491 54671622 65528398 85690982 98292597 118455181 128536473 154902929 196585194 236910362 257072946 309805858 355365543 464708787 556991383 710731086 929417574 1113982766 1539917353 1670974149 2013738077 3079834706 3341948298 4027476154 4619752059 6041214231 9239504118 12082428462 26178595001 52357190002 78535785003 157071570006