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5456605000 = 235471114173
BaseRepresentation
bin1010001010011110…
…10010111101001000
3112002021120020212111
411011033102331020
542133342330000
62301241552104
7252135243250
oct50517227510
915067506774
105456605000
112350125110
1210834a5634
1368c62ba72
1439a99c960
1521e09bcba
hex1453d2f48

5456605000 has 160 divisors (see below), whose sum is σ = 15940647360. Its totient is φ = 1700640000.

The previous prime is 5456604973. The next prime is 5456605019. The reversal of 5456605000 is 5066545.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 377914 + ... + 392086.

It is an arithmetic number, because the mean of its divisors is an integer number (99629046).

Almost surely, 25456605000 is an apocalyptic number.

5456605000 is a gapful number since it is divisible by the number (50) 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 5456605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970323680).

5456605000 is an abundant number, since it is smaller than the sum of its proper divisors (10484042360).

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

5456605000 is a wasteful number, since it uses less digits than its factorization.

5456605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14217 (or 14198 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 5456605000 is about 73868.8364603098. The cubic root of 5456605000 is about 1760.5194962673.

The spelling of 5456605000 in words is "five billion, four hundred fifty-six million, six hundred five thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 625 700 770 875 1000 1100 1250 1375 1400 1540 1750 1925 2200 2500 2750 3080 3500 3850 4375 5000 5500 6875 7000 7700 8750 9625 11000 13750 14173 15400 17500 19250 27500 28346 35000 38500 48125 55000 56692 70865 77000 96250 99211 113384 141730 155903 192500 198422 283460 311806 354325 385000 396844 496055 566920 623612 708650 779515 793688 992110 1091321 1247224 1417300 1559030 1771625 1984220 2182642 2480275 2834600 3118060 3543250 3897575 3968440 4365284 4960550 5456605 6236120 7086500 7795150 8730568 8858125 9921100 10913210 12401375 14173000 15590300 17716250 19487875 19842200 21826420 24802750 27283025 31180600 35432500 38975750 43652840 49605500 54566050 62006875 70865000 77951500 97439375 99211000 109132100 124013750 136415125 155903000 194878750 218264200 248027500 272830250 389757500 496055000 545660500 682075625 779515000 1091321000 1364151250 2728302500 5456605000