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157680468099 = 33711191479829
BaseRepresentation
bin1001001011011001111…
…1010000000010000011
3120002000000121201102000
42102312133100002003
510040412144434344
6200234251355043
714251316602350
oct2226637200203
9502000551360
10157680468099
1160965571550
1226686a52a83
1311b3b84643b
1478bb83d627
15417d00da69
hex24b67d0083

157680468099 has 128 divisors (see below), whose sum is σ = 293732352000. Its totient is φ = 81214876800.

The previous prime is 157680468097. The next prime is 157680468139. The reversal of 157680468099 is 990864086751.

157680468099 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 80 + 468 + 0 + 99 = 666.

It is a Cunningham number, because it is equal to 3970902-1.

It is not a de Polignac number, because 157680468099 - 21 = 157680468097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (157680468097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190205217 + ... + 190206045.

It is an arithmetic number, because the mean of its divisors is an integer number (2294784000).

Almost surely, 2157680468099 is an apocalyptic number.

157680468099 is a deficient number, since it is larger than the sum of its proper divisors (136051883901).

157680468099 is a wasteful number, since it uses less digits than its factorization.

157680468099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 157680468099 in words is "one hundred fifty-seven billion, six hundred eighty million, four hundred sixty-eight thousand, ninety-nine".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 191 231 297 479 573 693 829 1337 1437 1719 2079 2101 2487 3353 4011 4311 5157 5269 5803 6303 7461 9119 10059 12033 12933 14707 15807 17409 18909 22383 27357 30177 36099 36883 44121 47421 52227 56727 63833 82071 90531 91489 110649 132363 142263 156681 158339 191499 246213 274467 331947 397089 397091 475017 574497 640423 823401 995841 1006379 1108373 1191273 1425051 1723491 1741729 1921269 2470203 2779637 3019137 3325119 3573819 4275153 4368001 5225187 5763807 7044653 8338911 9057411 9975357 10721457 12192103 13104003 15675561 17291421 21133959 25016733 27172233 29926071 30576007 36576309 39312009 47026683 63401877 75050199 75844381 91728021 109728927 117936027 190205631 227533143 275184063 329186781 530910667 682599429 825552189 834288191 1592732001 2047798287 2502864573 4778196003 5840017337 7508593719 14334588009 17520052011 22525781157 52560156033 157680468099