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4107190992 = 243312269331
BaseRepresentation
bin1111010011001110…
…1100001011010000
3101121020101220211220
43310303230023100
531402420102432
61515315205040
7203531355522
oct36463541320
911536356756
104107190992
111818447423
129675a6780
13505bb2338
142ad697a12
1519089a72c
hexf4cec2d0

4107190992 has 120 divisors (see below), whose sum is σ = 11037552480. Its totient is φ = 1315987200.

The previous prime is 4107190981. The next prime is 4107191027. The reversal of 4107190992 is 2990917014.

4107190992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12408267 + ... + 12408597.

It is an arithmetic number, because the mean of its divisors is an integer number (91979604).

Almost surely, 24107190992 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 4107190992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518776240).

4107190992 is an abundant number, since it is smaller than the sum of its proper divisors (6930361488).

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

4107190992 is a wasteful number, since it uses less digits than its factorization.

4107190992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 4107190992 is about 64087.3699881654. The cubic root of 4107190992 is about 1601.4558353545.

The spelling of 4107190992 in words is "four billion, one hundred seven million, one hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 269 331 372 496 538 662 744 807 961 993 1076 1324 1488 1614 1922 1986 2152 2648 2883 3228 3844 3972 4304 5296 5766 6456 7688 7944 8339 10261 11532 12912 15376 15888 16678 20522 23064 25017 30783 33356 41044 46128 50034 61566 66712 82088 89039 100068 123132 133424 164176 178078 200136 246264 258509 267117 318091 356156 400272 492528 517018 534234 636182 712312 775527 954273 1034036 1068468 1272364 1424624 1551054 1908546 2068072 2136936 2544728 2760209 3102108 3817092 4136144 4273872 5089456 5520418 6204216 7634184 8280627 11040836 12408432 15268368 16561254 22081672 33122508 44163344 66245016 85566479 132490032 171132958 256699437 342265916 513398874 684531832 1026797748 1369063664 2053595496 4107190992