Search a number
-
+
149954771520 = 2632552067629
BaseRepresentation
bin1000101110101000000…
…0000011101001000000
3112100001121100200001200
42023222000003221000
54424101410142040
6152515511101200
713556006345541
oct2135200035100
9470047320050
10149954771520
1158660617344
122508b671800
13111aa0a4b48
14738777a4c8
153d79b48630
hex22ea003a40

149954771520 has 84 divisors (see below), whose sum is σ = 515781942780. Its totient is φ = 39987938304.

The previous prime is 149954771509. The next prime is 149954771537. The reversal of 149954771520 is 25177459941.

149954771520 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 5 + 47 + 71 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56773545984 + 93181225536 = 238272^2 + 305256^2 .

It is a super-2 number, since 2×1499547715202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26030935 + ... + 26036694.

Almost surely, 2149954771520 is an apocalyptic number.

149954771520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149954771520 is an abundant number, since it is smaller than the sum of its proper divisors (365827171260).

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

149954771520 is a wasteful number, since it uses less digits than its factorization.

149954771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52067652 (or 52067639 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 149954771520 in words is "one hundred forty-nine billion, nine hundred fifty-four million, seven hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 52067629 104135258 156202887 208270516 260338145 312405774 416541032 468608661 520676290 624811548 781014435 833082064 937217322 1041352580 1249623096 1562028870 1666164128 1874434644 2082705160 2343043305 2499246192 3124057740 3332328256 3748869288 4165410320 4686086610 4998492384 6248115480 7497738576 8330820640 9372173220 9996984768 12496230960 14995477152 16661641280 18744346440 24992461920 29990954304 37488692880 49984923840 74977385760 149954771520