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5003642000 = 245372411483
BaseRepresentation
bin1001010100011110…
…11000010010010000
3110220201020100110002
410222033120102100
540221413021000
62144301225132
7234665153360
oct45217302220
913821210402
105003642000
112138475325
12b778621a8
13619835516
1435676c9a0
151e44258d5
hex12a3d8490

5003642000 has 160 divisors (see below), whose sum is σ = 13893944064. Its totient is φ = 1707264000.

The previous prime is 5003641961. The next prime is 5003642023. The reversal of 5003642000 is 2463005.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3373259 + ... + 3374741.

Almost surely, 25003642000 is an apocalyptic number.

5003642000 is a gapful number since it is divisible by the number (50) 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 5003642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946972032).

5003642000 is an abundant number, since it is smaller than the sum of its proper divisors (8890302064).

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

5003642000 is a wasteful number, since it uses less digits than its factorization.

5003642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5003642000 is about 70736.4262597426. The cubic root of 5003642000 is about 1710.3910280711.

The spelling of 5003642000 in words is "five billion, three million, six hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 241 250 280 350 400 482 500 560 700 875 964 1000 1205 1400 1483 1687 1750 1928 2000 2410 2800 2966 3374 3500 3856 4820 5932 6025 6748 7000 7415 8435 9640 10381 11864 12050 13496 14000 14830 16870 19280 20762 23728 24100 26992 29660 30125 33740 37075 41524 42175 48200 51905 59320 60250 67480 74150 83048 84350 96400 103810 118640 120500 134960 148300 166096 168700 185375 207620 210875 241000 259525 296600 337400 357403 370750 415240 421750 482000 519050 593200 674800 714806 741500 830480 843500 1038100 1297625 1429612 1483000 1687000 1787015 2076200 2501821 2595250 2859224 2966000 3374000 3574030 4152400 5003642 5190500 5718448 7148060 8935075 10007284 10381000 12509105 14296120 17870150 20014568 20762000 25018210 28592240 35740300 40029136 44675375 50036420 62545525 71480600 89350750 100072840 125091050 142961200 178701500 200145680 250182100 312727625 357403000 500364200 625455250 714806000 1000728400 1250910500 2501821000 5003642000