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245406326100 = 2235213312029829
BaseRepresentation
bin1110010010001101011…
…0110101110101010100
3212110102210022001011220
43210203112311311110
513010043004413400
6304423233130340
723505253232325
oct3444326656524
9773383261156
10245406326100
1195092523041
123b68a0b99b0
131a1ac478160
14bc406c044c
1565b48c57a0
hex39235b5d54

245406326100 has 144 divisors (see below), whose sum is σ = 789327813120. Its totient is φ = 58459046400.

The previous prime is 245406326047. The next prime is 245406326101. The reversal of 245406326100 is 1623604542.

245406326100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245406326101) 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, 894015 + ... + 1135814.

Almost surely, 2245406326100 is an apocalyptic number.

245406326100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245406326100 is an abundant number, since it is smaller than the sum of its proper divisors (543921487020).

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

245406326100 is a wasteful number, since it uses less digits than its factorization.

245406326100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029890 (or 2029883 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 245406326100 in words is "two hundred forty-five billion, four hundred six million, three hundred twenty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 31 39 50 52 60 62 65 75 78 93 100 124 130 150 155 156 186 195 260 300 310 325 372 390 403 465 620 650 775 780 806 930 975 1209 1300 1550 1612 1860 1950 2015 2325 2418 3100 3900 4030 4650 4836 6045 8060 9300 10075 12090 20150 24180 30225 40300 60450 120900 2029829 4059658 6089487 8119316 10149145 12178974 20298290 24357948 26387777 30447435 40596580 50745725 52775554 60894870 62924699 79163331 101491450 105551108 121789740 125849398 131938885 152237175 158326662 188774097 202982900 251698796 263877770 304474350 314623495 316653324 377548194 395816655 527755540 608948700 629246990 659694425 755096388 791633310 818021087 943870485 1258493980 1319388850 1573117475 1583266620 1636042174 1887740970 1979083275 2454063261 2638777700 3146234950 3272084348 3775481940 3958166550 4090105435 4719352425 4908126522 6292469900 7916333100 8180210870 9438704850 9816253044 12270316305 16360421740 18877409700 20450527175 24540632610 40901054350 49081265220 61351581525 81802108700 122703163050 245406326100