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157036213000 = 23537311319037
BaseRepresentation
bin1001001001000000010…
…1100111001100001000
3120000100010100011120001
42102100011213030020
510033102232304000
6200050315012344
714226334533532
oct2222005471410
9500303304501
10157036213000
1160664937117
122652713a0b4
1311a682242c4
14785a056852
15414169d46a
hex2490167308

157036213000 has 128 divisors (see below), whose sum is σ = 375814689120. Its totient is φ = 61402521600.

The previous prime is 157036212997. The next prime is 157036213003. The reversal of 157036213000 is 312630751.

It is an interprime number because it is at equal distance from previous prime (157036212997) and next prime (157036213003).

It can be written as a sum of positive squares in 16 ways, for example, as 90479436804 + 66556776196 = 300798^2 + 257986^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 157036213000.

It is not an unprimeable number, because it can be changed into a prime (157036213003) by changing a digit.

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, 8239482 + ... + 8258518.

Almost surely, 2157036213000 is an apocalyptic number.

157036213000 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 157036213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187907344560).

157036213000 is an abundant number, since it is smaller than the sum of its proper divisors (218778476120).

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

157036213000 is a wasteful number, since it uses less digits than its factorization.

157036213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19244 (or 19230 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

Adding to 157036213000 its reverse (312630751), we get a palindrome (157348843751).

The spelling of 157036213000 in words is "one hundred fifty-seven billion, thirty-six million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 113 125 146 200 226 250 292 365 452 500 565 584 730 904 1000 1130 1460 1825 2260 2825 2920 3650 4520 5650 7300 8249 9125 11300 14125 14600 16498 18250 19037 22600 28250 32996 36500 38074 41245 56500 65992 73000 76148 82490 95185 113000 152296 164980 190370 206225 329960 380740 412450 475925 761480 824900 951850 1031125 1389701 1649800 1903700 2062250 2151181 2379625 2779402 3807400 4124500 4302362 4759250 5558804 6948505 8249000 8604724 9518500 10755905 11117608 13897010 17209448 19037000 21511810 27794020 34742525 43023620 53779525 55588040 69485050 86047240 107559050 138970100 157036213 173712625 215118100 268897625 277940200 314072426 347425250 430236200 537795250 628144852 694850500 785181065 1075590500 1256289704 1389701000 1570362130 2151181000 3140724260 3925905325 6281448520 7851810650 15703621300 19629526625 31407242600 39259053250 78518106500 157036213000