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1201466664 = 233237607743
BaseRepresentation
bin100011110011100…
…1110110100101000
310002201202211102100
41013213032310220
54430033413124
6315115333400
741526204156
oct10747166450
93081684370
101201466664
11567218762
12296451260
13161bb8c28
14b57d23d6
157072a1c9
hex479ced28

1201466664 has 96 divisors (see below), whose sum is σ = 3351928320. Its totient is φ = 388499328.

The previous prime is 1201466621. The next prime is 1201466677. The reversal of 1201466664 is 4666641021.

1201466664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1616677 + ... + 1617419.

It is an arithmetic number, because the mean of its divisors is an integer number (34915920).

Almost surely, 21201466664 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 1201466664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675964160).

1201466664 is an abundant number, since it is smaller than the sum of its proper divisors (2150461656).

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

1201466664 is a wasteful number, since it uses less digits than its factorization.

1201466664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1201466664 is about 34662.1791582699. The cubic root of 1201466664 is about 1063.0913271075.

The spelling of 1201466664 in words is "one billion, two hundred one million, four hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 607 666 743 888 1214 1332 1486 1821 2229 2428 2664 2972 3642 4458 4856 5463 5944 6687 7284 8916 10926 13374 14568 17832 21852 22459 26748 27491 43704 44918 53496 54982 67377 82473 89836 109964 134754 164946 179672 202131 219928 247419 269508 329892 404262 451001 494838 539016 659784 808524 902002 989676 1353003 1617048 1804004 1979352 2706006 3608008 4059009 5412012 8118018 10824024 16236036 16687037 32472072 33374074 50061111 66748148 100122222 133496296 150183333 200244444 300366666 400488888 600733332 1201466664