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83415378141184 = 213291811193883
BaseRepresentation
bin10010111101110110100111…
…111110111010000000000000
3101221100102200010101011221111
4102331312213332322000000
541413134143301004214
6453224255023133104
723366363555246335
oct2275664776720000
9357312603334844
1083415378141184
1124640299365301
129432561444194
133771061ca657b
14168547c18898c
15999c5ab825c4
hex4bdda7fba000

83415378141184 has 112 divisors (see below), whose sum is σ = 172669189453920. Its totient is φ = 40247049256960.

The previous prime is 83415378141163. The next prime is 83415378141209. The reversal of 83415378141184 is 48114187351438.

It is a Harshad number since it is a multiple of its sum of digits (58).

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, 430138707 + ... + 430332589.

Almost surely, 283415378141184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83415378141184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86334594726960).

83415378141184 is an abundant number, since it is smaller than the sum of its proper divisors (89253811312736).

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

83415378141184 is a wasteful number, since it uses less digits than its factorization.

83415378141184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195749 (or 195725 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 58.

The spelling of 83415378141184 in words is "eighty-three trillion, four hundred fifteen billion, three hundred seventy-eight million, one hundred forty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1811 1856 2048 3622 3712 4096 7244 7424 8192 14488 14848 28976 29696 52519 57952 59392 105038 115904 118784 193883 210076 231808 237568 387766 420152 463616 775532 840304 927232 1551064 1680608 1854464 3102128 3361216 3708928 5622607 6204256 6722432 7417856 11245214 12408512 13444864 14835712 22490428 24817024 26889728 44980856 49634048 53779456 89961712 99268096 107558912 179923424 198536192 215117824 351122113 359846848 397072384 430235648 702244226 719693696 794144768 1404488452 1439387392 1588289536 2808976904 2878774784 5617953808 5757549568 10182541277 11235907616 11515099136 20365082554 22471815232 23030198272 40730165108 44943630464 46060396544 81460330216 89887260928 162920660432 179774521856 325841320864 359549043712 651682641728 719098087424 1303365283456 1438196174848 2606730566912 2876392349696 5213461133824 10426922267648 20853844535296 41707689070592 83415378141184