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157648162000 = 2453738329401
BaseRepresentation
bin1001001011010010010…
…0000000110011010000
3120001220202211101202211
42102310210000303100
510040330412141000
6200231135121504
714250445160440
oct2226444006320
9501822741684
10157648162000
116094930649a
1226678073294
1311b34c448c4
1478b7430120
15417a27b7ba
hex24b4900cd0

157648162000 has 160 divisors (see below), whose sum is σ = 436801757184. Its totient is φ = 53907840000.

The previous prime is 157648161941. The next prime is 157648162037. The reversal of 157648162000 is 261846751.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5347300 + ... + 5376700.

Almost surely, 2157648162000 is an apocalyptic number.

157648162000 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 157648162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218400878592).

157648162000 is an abundant number, since it is smaller than the sum of its proper divisors (279153595184).

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

157648162000 is a wasteful number, since it uses less digits than its factorization.

157648162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29814 (or 29798 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 157648162000 in words is "one hundred fifty-seven billion, six hundred forty-eight million, one hundred sixty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 383 400 500 560 700 766 875 1000 1400 1532 1750 1915 2000 2681 2800 3064 3500 3830 5362 6128 7000 7660 9575 10724 13405 14000 15320 19150 21448 26810 29401 30640 38300 42896 47875 53620 58802 67025 76600 95750 107240 117604 134050 147005 153200 191500 205807 214480 235208 268100 294010 335125 383000 411614 470416 536200 588020 670250 735025 766000 823228 1029035 1072400 1176040 1340500 1470050 1646456 2058070 2352080 2681000 2940100 3292912 3675125 4116140 5145175 5362000 5880200 7350250 8232280 10290350 11260583 11760400 14700500 16464560 20580700 22521166 25725875 29401000 41161400 45042332 51451750 56302915 58802000 78824081 82322800 90084664 102903500 112605830 157648162 180169328 205807000 225211660 281514575 315296324 394120405 411614000 450423320 563029150 630592648 788240810 900846640 1126058300 1261185296 1407572875 1576481620 1970602025 2252116600 2815145750 3152963240 3941204050 4504233200 5630291500 6305926480 7882408100 9853010125 11260583000 15764816200 19706020250 22521166000 31529632400 39412040500 78824081000 157648162000