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128138454612 = 223273797141679
BaseRepresentation
bin111011101010110100…
…1011010011001010100
3110020202012002221102100
41313111221122121110
54044411421021422
6134511015442100
712154250615220
oct1672551323124
9406665087370
10128138454612
114a3858a9573
1220a01386330
13c11131629c
1462b8171780
1534ee6ee7ac
hex1dd5a5a654

128138454612 has 144 divisors (see below), whose sum is σ = 384104680960. Its totient is φ = 35254020096.

The previous prime is 128138454547. The next prime is 128138454637. The reversal of 128138454612 is 216454831821.

128138454612 is a `hidden beast` number, since 1 + 2 + 8 + 13 + 84 + 546 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833589 + ... + 975267.

Almost surely, 2128138454612 is an apocalyptic number.

128138454612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128138454612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192052340480).

128138454612 is an abundant number, since it is smaller than the sum of its proper divisors (255966226348).

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

128138454612 is a wasteful number, since it uses less digits than its factorization.

128138454612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141830 (or 141825 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 128138454612 in words is "one hundred twenty-eight billion, one hundred thirty-eight million, four hundred fifty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 97 111 126 148 194 222 252 259 291 333 388 444 518 582 666 679 777 873 1036 1164 1332 1358 1554 1746 2037 2331 2716 3108 3492 3589 4074 4662 6111 7178 8148 9324 10767 12222 14356 21534 24444 25123 32301 43068 50246 64602 75369 100492 129204 141679 150738 226107 283358 301476 425037 452214 566716 850074 904428 991753 1275111 1700148 1983506 2550222 2975259 3967012 5100444 5242123 5950518 8925777 10484246 11901036 13742863 15726369 17851554 20968492 27485726 31452738 35703108 36694861 41228589 47179107 54971452 62905476 73389722 82457178 94358214 96200041 110084583 123685767 146779444 164914356 188716428 192400082 220169166 247371534 288600123 330253749 384800164 440338332 494743068 508485931 577200246 660507498 865800369 1016971862 1154400492 1321014996 1525457793 1731600738 2033943724 3050915586 3463201476 3559401517 4576373379 6101831172 7118803034 9152746758 10678204551 14237606068 18305493516 21356409102 32034613653 42712818204 64069227306 128138454612