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106379009450 = 25273110791631
BaseRepresentation
bin110001100010010101…
…1101101110110101010
3101011120201212121010222
41203010223231312222
53220331011300300
6120511515210042
710454112442460
oct1430453556652
9334521777128
10106379009450
114112a1a533a
121874a146922
13a05427a84c
14521232c830
152b7928b785
hex18c4aeddaa

106379009450 has 96 divisors (see below), whose sum is σ = 235610062848. Its totient is φ = 34966008000.

The previous prime is 106379009377. The next prime is 106379009459. The reversal of 106379009450 is 54900973601.

It is a super-2 number, since 2×1063790094502 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106379009459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115135 + ... + 1206765.

It is an arithmetic number, because the mean of its divisors is an integer number (2454271488).

Almost surely, 2106379009450 is an apocalyptic number.

106379009450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106379009450 is an abundant number, since it is smaller than the sum of its proper divisors (129231053398).

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

106379009450 is a wasteful number, since it uses less digits than its factorization.

106379009450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91788 (or 91783 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The spelling of 106379009450 in words is "one hundred six billion, three hundred seventy-nine million, nine thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 31 35 50 62 70 107 155 175 214 217 310 350 434 535 749 775 1070 1085 1498 1550 2170 2675 3317 3745 5350 5425 6634 7490 10850 16585 18725 23219 33170 37450 46438 82925 91631 116095 165850 183262 232190 458155 580475 641417 916310 1160950 1282834 2290775 2840561 3207085 4581550 5681122 6414170 9804517 14202805 16035425 19609034 19883927 28405610 32070850 39767854 49022585 68631619 71014025 98045170 99419635 137263238 142028050 198839270 245112925 303940027 343158095 490225850 497098175 607880054 686316190 994196350 1519700135 1715790475 2127580189 3039400270 3431580950 4255160378 7598500675 10637900945 15197001350 21275801890 53189504725 106379009450