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4119253900 = 2252471078191
BaseRepresentation
bin1111010110000110…
…1101001110001100
3101122002002210001021
43311201231032030
531414012111100
61520425523524
7204036036406
oct36541551614
911562083037
104119253900
111824236473
1296b6435a4
13508546b58
142b1117b76
1519197ea1a
hexf586d38c

4119253900 has 72 divisors (see below), whose sum is σ = 9215410176. Its totient is φ = 1597377600.

The previous prime is 4119253889. The next prime is 4119253907. The reversal of 4119253900 is 93529114.

It is not an unprimeable number, because it can be changed into a prime (4119253907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498805 + ... + 506995.

It is an arithmetic number, because the mean of its divisors is an integer number (127991808).

Almost surely, 24119253900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4119253900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607705088).

4119253900 is an abundant number, since it is smaller than the sum of its proper divisors (5096156276).

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

4119253900 is a wasteful number, since it uses less digits than its factorization.

4119253900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8359 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 4119253900 is about 64181.4139763218. The cubic root of 4119253900 is about 1603.0221396385.

The spelling of 4119253900 in words is "four billion, one hundred nineteen million, two hundred fifty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 107 188 214 235 428 470 535 940 1070 1175 2140 2350 2675 4700 5029 5350 8191 10058 10700 16382 20116 25145 32764 40955 50290 81910 100580 125725 163820 204775 251450 384977 409550 502900 769954 819100 876437 1539908 1752874 1924885 3505748 3849770 4382185 7699540 8764370 9624425 17528740 19248850 21910925 38497700 41192539 43821850 82385078 87643700 164770156 205962695 411925390 823850780 1029813475 2059626950 4119253900