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89138135040 = 2183522669
BaseRepresentation
bin101001100000100001…
…1000000000000000000
322112002012010102122220
41103001003000000000
52430023330310130
6104541031331040
76303632434503
oct1230103000000
9275065112586
1089138135040
11348921761a9
1215338220a80
1385373bb606
14445866b13a
1524ba884410
hex14c10c0000

89138135040 has 152 divisors (see below), whose sum is σ = 285254070960. Its totient is φ = 23769120768.

The previous prime is 89138135011. The next prime is 89138135059. The reversal of 89138135040 is 4053183198.

It is a junction number, because it is equal to n+sod(n) for n = 89138134983 and 89138135001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3920826 + ... + 3943494.

Almost surely, 289138135040 is an apocalyptic number.

89138135040 is a gapful number since it is divisible by the number (80) 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 89138135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142627035480).

89138135040 is an abundant number, since it is smaller than the sum of its proper divisors (196115935920).

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

89138135040 is an frugal number, since it uses more digits than its factorization.

89138135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22713 (or 22679 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 89138135040 in words is "eighty-nine billion, one hundred thirty-eight million, one hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 22669 24576 30720 32768 40960 45338 49152 61440 65536 68007 81920 90676 98304 113345 122880 131072 136014 163840 181352 196608 226690 245760 262144 272028 327680 340035 362704 393216 453380 491520 544056 655360 680070 725408 786432 906760 983040 1088112 1310720 1360140 1450816 1813520 1966080 2176224 2720280 2901632 3627040 3932160 4352448 5440560 5803264 7254080 8704896 10881120 11606528 14508160 17409792 21762240 23213056 29016320 34819584 43524480 46426112 58032640 69639168 87048960 92852224 116065280 139278336 174097920 185704448 232130560 278556672 348195840 371408896 464261120 557113344 696391680 742817792 928522240 1114226688 1392783360 1485635584 1857044480 2228453376 2785566720 2971271168 3714088960 4456906752 5571133440 5942542336 7428177920 8913813504 11142266880 14856355840 17827627008 22284533760 29712711680 44569067520 89138135040