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157061541 = 3713575317
BaseRepresentation
bin10010101110010…
…01000110100101
3101221112112221010
421113021012211
5310201432131
623330212433
73615000240
oct1127110645
9357475833
10157061541
118072572a
1244724119
1326702130
1416c06257
15dbc6b46
hex95c91a5

157061541 has 16 divisors (see below), whose sum is σ = 257742464. Its totient is φ = 82845504.

The previous prime is 157061539. The next prime is 157061557. The reversal of 157061541 is 145160751.

It is not a de Polignac number, because 157061541 - 21 = 157061539 is a prime.

It is a super-3 number, since 3×1570615413 (a number of 26 digits) contains 333 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 = 157061499 and 157061508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157061501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287386 + ... + 287931.

It is an arithmetic number, because the mean of its divisors is an integer number (16108904).

Almost surely, 2157061541 is an apocalyptic number.

It is an amenable number.

157061541 is a deficient number, since it is larger than the sum of its proper divisors (100680923).

157061541 is a wasteful number, since it uses less digits than its factorization.

157061541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575340.

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 157061541 is about 12532.4195987846. The cubic root of 157061541 is about 539.5395491923.

The spelling of 157061541 in words is "one hundred fifty-seven million, sixty-one thousand, five hundred forty-one".

Divisors: 1 3 7 13 21 39 91 273 575317 1725951 4027219 7479121 12081657 22437363 52353847 157061541