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157080914136 = 233210950939323
BaseRepresentation
bin1001001001001011000…
…0001000100011011000
3120000110020110012222200
42102102300020203120
510033200203223021
6200054553050200
714230416511536
oct2222260104330
9500406405880
10157080914136
1160688098803
122653a0b6960
1311a74575893
147861d71156
15414557d126
hex2492c088d8

157080914136 has 96 divisors (see below), whose sum is σ = 430184898000. Its totient is φ = 51776692992.

The previous prime is 157080914129. The next prime is 157080914143. The reversal of 157080914136 is 631419080751.

157080914136 is a `hidden beast` number, since 1 + 5 + 70 + 80 + 91 + 413 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (157080914129) and next prime (157080914143).

It is a junction number, because it is equal to n+sod(n) for n = 157080914091 and 157080914100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3974971 + ... + 4014293.

Almost surely, 2157080914136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157080914136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215092449000).

157080914136 is an abundant number, since it is smaller than the sum of its proper divisors (273103983864).

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

157080914136 is a wasteful number, since it uses less digits than its factorization.

157080914136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39953 (or 39946 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

Adding to 157080914136 its reverse (631419080751), we get a palindrome (788499994887).

The spelling of 157080914136 in words is "one hundred fifty-seven billion, eighty million, nine hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 509 654 872 981 1018 1308 1527 1962 2036 2616 3054 3924 4072 4581 6108 7848 9162 12216 18324 36648 39323 55481 78646 110962 117969 157292 166443 221924 235938 314584 332886 353907 443848 471876 499329 665772 707814 943752 998658 1331544 1415628 1997316 2831256 3994632 4286207 8572414 12858621 17144828 20015407 25717242 34289656 38575863 40030814 51434484 60046221 77151726 80061628 102868968 120092442 154303452 160123256 180138663 240184884 308606904 360277326 480369768 720554652 1441109304 2181679363 4363358726 6545038089 8726717452 13090076178 17453434904 19635114267 26180152356 39270228534 52360304712 78540457068 157080914136