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10120408128816 = 243477361452007
BaseRepresentation
bin1001001101000101011101…
…0101001101110100110000
31022211111112122100221210220
42103101113111031310300
52311303043440110231
633305130141053040
72063114101505526
oct223212725156460
938744478327726
1010120408128816
11325204a606387
1211754a0257180
13585472a6c11b
1426db8a754316
151283c5b65896
hex9345754dd30

10120408128816 has 80 divisors (see below), whose sum is σ = 27066414019584. Its totient is φ = 3256464701952.

The previous prime is 10120408128793. The next prime is 10120408128911. The reversal of 10120408128816 is 61882180402101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30561316 + ... + 30890691.

Almost surely, 210120408128816 is an apocalyptic number.

10120408128816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10120408128816 is an abundant number, since it is smaller than the sum of its proper divisors (16946005890768).

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

10120408128816 is a wasteful number, since it uses less digits than its factorization.

10120408128816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61452138 (or 61452132 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The spelling of 10120408128816 in words is "ten trillion, one hundred twenty billion, four hundred eight million, one hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 73 94 141 146 188 219 282 292 376 438 564 584 752 876 1128 1168 1752 2256 3431 3504 6862 10293 13724 20586 27448 41172 54896 82344 164688 61452007 122904014 184356021 245808028 368712042 491616056 737424084 983232112 1474848168 2888244329 2949696336 4485996511 5776488658 8664732987 8971993022 11552977316 13457989533 17329465974 17943986044 23105954632 26915979066 34658931948 35887972088 46211909264 53831958132 69317863896 71775944176 107663916264 138635727792 210841836017 215327832528 421683672034 632525508051 843367344068 1265051016102 1686734688136 2530102032204 3373469376272 5060204064408 10120408128816