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187048137640 = 235713109471439
BaseRepresentation
bin1010111000110011110…
…0000001001110101000
3122212210201001220110111
42232030330001032220
511031033310401030
6221532334424104
716341140636230
oct2561474011650
9585721056414
10187048137640
1172365885321
1230302062034
131483bc02cb0
1490a5cc6cc0
154ceb38062a
hex2b8cf013a8

187048137640 has 128 divisors (see below), whose sum is σ = 522732672000. Its totient is φ = 58654430208.

The previous prime is 187048137509. The next prime is 187048137667. The reversal of 187048137640 is 46731840781.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161041 + ... + 632479.

It is an arithmetic number, because the mean of its divisors is an integer number (4083849000).

Almost surely, 2187048137640 is an apocalyptic number.

187048137640 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 187048137640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261366336000).

187048137640 is an abundant number, since it is smaller than the sum of its proper divisors (335684534360).

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

187048137640 is a wasteful number, since it uses less digits than its factorization.

187048137640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471579 (or 471575 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 187048137640 in words is "one hundred eighty-seven billion, forty-eight million, one hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 109 130 140 182 218 260 280 364 436 455 520 545 728 763 872 910 1090 1417 1526 1820 2180 2834 3052 3640 3815 4360 5668 6104 7085 7630 9919 11336 14170 15260 19838 28340 30520 39676 49595 56680 79352 99190 198380 396760 471439 942878 1885756 2357195 3300073 3771512 4714390 6128707 6600146 9428780 12257414 13200292 16500365 18857560 24514828 26400584 30643535 33000730 42900949 49029656 51386851 61287070 66001460 85801898 102773702 122574140 132002920 171603796 205547404 214504745 245148280 256934255 343207592 359707957 411094808 429009490 513868510 668029063 719415914 858018980 1027737020 1336058126 1438831828 1716037960 1798539785 2055474040 2672116252 2877663656 3340145315 3597079570 4676203441 5344232504 6680290630 7194159140 9352406882 13360581260 14388318280 18704813764 23381017205 26721162520 37409627528 46762034410 93524068820 187048137640