Search a number
-
+
55350278100 = 223352131576931
BaseRepresentation
bin110011100011001000…
…100011011111010100
312021212110022110102000
4303203020203133110
51401324132344400
641232204315300
73666426413115
oct634310433724
9167773273360
1055350278100
1121523875197
12a888842b30
1352b1351260
14297113220c
15168e43c600
hexce32237d4

55350278100 has 144 divisors (see below), whose sum is σ = 191628776640. Its totient is φ = 13624675200.

The previous prime is 55350278069. The next prime is 55350278147. The reversal of 55350278100 is 187205355.

55350278100 is a `hidden beast` number, since 553 + 5 + 0 + 27 + 81 + 0 + 0 = 666.

55350278100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×553502781002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753366 + ... + 823565.

Almost surely, 255350278100 is an apocalyptic number.

55350278100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55350278100 is an abundant number, since it is smaller than the sum of its proper divisors (136278498540).

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

55350278100 is a wasteful number, since it uses less digits than its factorization.

55350278100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576967 (or 1576954 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 55350278100 in words is "fifty-five billion, three hundred fifty million, two hundred seventy-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2925 3510 3900 5850 7020 8775 11700 17550 35100 1576931 3153862 4730793 6307724 7884655 9461586 14192379 15769310 18923172 20500103 23653965 28384758 31538620 39423275 41000206 42577137 47307930 56769516 61500309 70961895 78846550 82000412 85154274 94615860 102500515 118269825 123000618 141923790 157693100 170308548 184500927 205001030 212885685 236539650 246001236 283847580 307501545 354809475 369001854 410002060 425771370 473079300 512502575 553502781 615003090 709618950 738003708 851542740 922504635 1025005150 1064428425 1107005562 1230006180 1419237900 1537507725 1845009270 2050010300 2128856850 2214011124 2767513905 3075015450 3690018540 4257713700 4612523175 5535027810 6150030900 9225046350 11070055620 13837569525 18450092700 27675139050 55350278100