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156250000640 = 285313390001
BaseRepresentation
bin1001000110000100111…
…0011100110100000000
3112221022022221102221202
42101201032130310000
510030000000010030
6155440311440332
714201010043316
oct2214116346400
9487268842852
10156250000640
11602a1063138
12263479860a8
131197138aca6
1477c387a0b6
1540e764b745
hex246139cd00

156250000640 has 72 divisors (see below), whose sum is σ = 375464285448. Its totient is φ = 62300160000.

The previous prime is 156250000637. The next prime is 156250000651. The reversal of 156250000640 is 46000052651.

It can be written as a sum of positive squares in 4 ways, for example, as 15619000576 + 140631000064 = 124976^2 + 375008^2 .

It is a sliding number, since 156250000640 = 640 + 156250000000 and 1/640 + 1/156250000000 = 0.00156250000640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205640 + ... + 595640.

Almost surely, 2156250000640 is an apocalyptic number.

156250000640 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 156250000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187732142724).

156250000640 is an abundant number, since it is smaller than the sum of its proper divisors (219214284808).

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

156250000640 is an equidigital number, since it uses as much as digits as its factorization.

156250000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390335 (or 390321 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

It can be divided in two parts, 156250000 and 640, that multiplied together give a 11-th power (100000000000 = 1011).

The spelling of 156250000640 in words is "one hundred fifty-six billion, two hundred fifty million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 313 320 626 640 1252 1280 1565 2504 3130 5008 6260 10016 12520 20032 25040 40064 50080 80128 100160 200320 390001 400640 780002 1560004 1950005 3120008 3900010 6240016 7800020 12480032 15600040 24960064 31200080 49920128 62400160 99840256 122070313 124800320 244140626 249600640 488281252 499201280 610351565 976562504 1220703130 1953125008 2441406260 3906250016 4882812520 7812500032 9765625040 15625000064 19531250080 31250000128 39062500160 78125000320 156250000640