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6116046000 = 243532114831
BaseRepresentation
bin1011011001000101…
…10111010010110000
3120210020102022212020
411230202313102300
5100011201433000
62450520031440
7304363350621
oct55442672260
916706368766
106116046000
112659391979
121228302580
1376613a03c
144203b9a48
1525be0bba0
hex16c8b74b0

6116046000 has 160 divisors (see below), whose sum is σ = 19815684096. Its totient is φ = 1622880000.

The previous prime is 6116045977. The next prime is 6116046007. The reversal of 6116046000 is 6406116.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6116046007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263585 + ... + 1268415.

Almost surely, 26116046000 is an apocalyptic number.

6116046000 is a gapful number since it is divisible by the number (60) 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 6116046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907842048).

6116046000 is an abundant number, since it is smaller than the sum of its proper divisors (13699638096).

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

6116046000 is a wasteful number, since it uses less digits than its factorization.

6116046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6116046000 is about 78205.1532828880. The cubic root of 6116046000 is about 1828.7608440549.

The spelling of 6116046000 in words is "six billion, one hundred sixteen million, forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 211 240 250 300 375 400 422 500 600 633 750 844 1000 1055 1200 1266 1500 1688 2000 2110 2532 3000 3165 3376 4220 4831 5064 5275 6000 6330 8440 9662 10128 10550 12660 14493 15825 16880 19324 21100 24155 25320 26375 28986 31650 38648 42200 48310 50640 52750 57972 63300 72465 77296 79125 84400 96620 105500 115944 120775 126600 144930 158250 193240 211000 231888 241550 253200 289860 316500 362325 386480 422000 483100 579720 603875 633000 724650 966200 1019341 1159440 1207750 1266000 1449300 1811625 1932400 2038682 2415500 2898600 3058023 3623250 4077364 4831000 5096705 5797200 6116046 7246500 8154728 9662000 10193410 12232092 14493000 15290115 16309456 20386820 24464184 25483525 28986000 30580230 40773640 48928368 50967050 61160460 76450575 81547280 101934100 122320920 127417625 152901150 203868200 244641840 254835250 305802300 382252875 407736400 509670500 611604600 764505750 1019341000 1223209200 1529011500 2038682000 3058023000 6116046000