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1977401130120 = 2332513422521609
BaseRepresentation
bin11100110001100110010…
…010101011110010001000
321000001000111002022110100
4130301212102223302020
5224344204142130440
64112223332445400
7262601562165033
oct34614622536210
97001014068410
101977401130120
116a267a429419
1227b297779860
13114611621010
146b9c737c01a
1536684006230
hex1cc664abc88

1977401130120 has 96 divisors (see below), whose sum is σ = 6920903971800. Its totient is φ = 486744892416.

The previous prime is 1977401130077. The next prime is 1977401130139. The reversal of 1977401130120 is 210311047791.

It can be written as a sum of positive squares in 4 ways, for example, as 1554794523396 + 422606606724 = 1246914^2 + 650082^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211256125 + ... + 211265484.

Almost surely, 21977401130120 is an apocalyptic number.

1977401130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1977401130120 is an abundant number, since it is smaller than the sum of its proper divisors (4943502841680).

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

1977401130120 is a wasteful number, since it uses less digits than its factorization.

1977401130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422521639 (or 422521632 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 1977401130120 in words is "one trillion, nine hundred seventy-seven billion, four hundred one million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 422521609 845043218 1267564827 1690086436 2112608045 2535129654 3380172872 3802694481 4225216090 5070259308 5492780917 6337824135 7605388962 8450432180 10140518616 10985561834 12675648270 15210777924 16478342751 16900864360 19013472405 21971123668 25351296540 27463904585 30421555848 32956685502 38026944810 43942247336 49435028253 50702593080 54927809170 65913371004 76053889620 82391713755 98870056506 109855618340 131826742008 152107779240 164783427510 197740113012 219711236680 247175141265 329566855020 395480226024 494350282530 659133710040 988700565060 1977401130120