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1001999968 = 25231499137
BaseRepresentation
bin111011101110010…
…100111001100000
32120211102212112221
4323232110321200
54023002444333
6243232200424
733554600464
oct7356247140
92524385487
101001999968
1147466a452
1223b699114
1312c78a5b8
149710c4a4
155ce78d2d
hex3bb94e60

1001999968 has 48 divisors (see below), whose sum is σ = 2072498400. Its totient is φ = 475949056.

The previous prime is 1001999959. The next prime is 1001999981. The reversal of 1001999968 is 8699991001.

It is a congruent number.

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, 105096 + ... + 114232.

It is an arithmetic number, because the mean of its divisors is an integer number (43177050).

Almost surely, 21001999968 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 1001999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036249200).

1001999968 is an abundant number, since it is smaller than the sum of its proper divisors (1070498432).

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

1001999968 is a wasteful number, since it uses less digits than its factorization.

1001999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9319 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 52.

The square root of 1001999968 is about 31654.3830772296. The cubic root of 1001999968 is about 1000.6662120629. Note that the first 3 decimals are identical.

The spelling of 1001999968 in words is "one billion, one million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 149 184 298 368 596 736 1192 2384 3427 4768 6854 9137 13708 18274 27416 36548 54832 73096 109664 146192 210151 292384 420302 840604 1361413 1681208 2722826 3362416 5445652 6724832 10891304 21782608 31312499 43565216 62624998 125249996 250499992 500999984 1001999968