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11473774214100 = 22352118574057061
BaseRepresentation
bin1010011011110111001000…
…1111000111101111010100
31111121212211001102102121020
42212331302033013233110
53000441242144322400
640222551253121140
72262644551435542
oct246756217075724
944555731372536
1011473774214100
113724000472290
12135383b9291b0
13652c840b6303
142b94956ccd92
1514d6d4bd92a0
hexa6f723c7bd4

11473774214100 has 144 divisors (see below), whose sum is σ = 36257670985536. Its totient is φ = 2778274688000.

The previous prime is 11473774214059. The next prime is 11473774214107. The reversal of 11473774214100 is 141247737411.

It is a super-2 number, since 2×114737742141002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11473774214107) 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, 799570 + ... + 4856630.

It is an arithmetic number, because the mean of its divisors is an integer number (251789381844).

Almost surely, 211473774214100 is an apocalyptic number.

11473774214100 is a gapful number since it is divisible by the number (10) 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 11473774214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18128835492768).

11473774214100 is an abundant number, since it is smaller than the sum of its proper divisors (24783896771436).

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

11473774214100 is a wasteful number, since it uses less digits than its factorization.

11473774214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057946 (or 4057939 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 11473774214100 in words is "eleven trillion, four hundred seventy-three billion, seven hundred seventy-four million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 857 1100 1650 1714 2571 3300 3428 4285 5142 8570 9427 10284 12855 17140 18854 21425 25710 28281 37708 42850 47135 51420 56562 64275 85700 94270 113124 128550 141405 188540 235675 257100 282810 471350 565620 707025 942700 1414050 2828100 4057061 8114122 12171183 16228244 20285305 24342366 40570610 44627671 48684732 60855915 81141220 89255342 101426525 121711830 133883013 178510684 202853050 223138355 243423660 267766026 304279575 405706100 446276710 535532052 608559150 669415065 892553420 1115691775 1217118300 1338830130 2231383550 2677660260 3347075325 3476901277 4462767100 6694150650 6953802554 10430703831 13388301300 13907605108 17384506385 20861407662 34769012770 38245914047 41722815324 52153519155 69538025540 76491828094 86922531925 104307038310 114737742141 152983656188 173845063850 191229570235 208614076620 229475484282 260767595775 347690127700 382459140470 458950968564 521535191550 573688710705 764918280940 956147851175 1043070383100 1147377421410 1912295702350 2294754842820 2868443553525 3824591404700 5736887107050 11473774214100