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155024000000 = 210569689
BaseRepresentation
bin1001000001100000100…
…1101000010000000000
3112211010220000011020122
42100120021220100000
510014442121000000
6155114514155412
714125432154402
oct2203011502000
9484126004218
10155024000000
115a822008771
1226065282b68
131180739201c
147708adcb72
154074bc7085
hex2418268400

155024000000 has 154 divisors (see below), whose sum is σ = 387405783330. Its totient is φ = 62003200000.

The previous prime is 155023999997. The next prime is 155024000023. The reversal of 155024000000 is 420551.

It can be written as a sum of positive squares in 7 ways, for example, as 155021737984 + 2262016 = 393728^2 + 1504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15995156 + ... + 16004844.

Almost surely, 2155024000000 is an apocalyptic number.

155024000000 is a gapful number since it is divisible by the number (10) 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 155024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193702891665).

155024000000 is an abundant number, since it is smaller than the sum of its proper divisors (232381783330).

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

155024000000 is an frugal number, since it uses more digits than its factorization.

155024000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9739 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

Adding to 155024000000 its reverse (420551), we get a palindrome (155024420551).

The spelling of 155024000000 in words is "one hundred fifty-five billion, twenty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 9689 10000 12500 12800 15625 16000 19378 20000 25000 25600 31250 32000 38756 40000 48445 50000 62500 64000 77512 80000 96890 100000 125000 128000 155024 160000 193780 200000 242225 250000 310048 320000 387560 400000 484450 500000 620096 640000 775120 800000 968900 1000000 1211125 1240192 1550240 1600000 1937800 2000000 2422250 2480384 3100480 3200000 3875600 4000000 4844500 4960768 6055625 6200960 7751200 8000000 9689000 9921536 12111250 12401920 15502400 16000000 19378000 24222500 24803840 30278125 31004800 38756000 48445000 49607680 60556250 62009600 77512000 96890000 121112500 124019200 151390625 155024000 193780000 242225000 248038400 302781250 310048000 387560000 484450000 605562500 620096000 775120000 968900000 1211125000 1240192000 1550240000 1937800000 2422250000 3100480000 3875600000 4844500000 6200960000 7751200000 9689000000 15502400000 19378000000 31004800000 38756000000 77512000000 155024000000