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1990918144 = 216171787
BaseRepresentation
bin111011010101011…
…0000000000000000
312010202021010021001
41312222300000000
513034133340034
6525320141344
7100223345035
oct16652600000
95122233231
101990918144
119319042a6
12476907854
13259617697
1414c5b338c
15b9bbba14
hex76ab0000

1990918144 has 68 divisors (see below), whose sum is σ = 4218389064. Its totient is φ = 936378368.

The previous prime is 1990918133. The next prime is 1990918151. The reversal of 1990918144 is 4418190991.

It is a tau number, because it is divible by the number of its divisors (68).

It is a super-2 number, since 2×19909181442 = 7927510112216809472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1990918094 and 1990918103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1113219 + ... + 1115005.

Almost surely, 21990918144 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 1990918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109194532).

1990918144 is an abundant number, since it is smaller than the sum of its proper divisors (2227470920).

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

1990918144 is an frugal number, since it uses more digits than its factorization.

1990918144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 46.

The square root of 1990918144 is about 44619.7057811904. The cubic root of 1990918144 is about 1258.0110857099.

The spelling of 1990918144 in words is "one billion, nine hundred ninety million, nine hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1787 2048 2176 3574 4096 4352 7148 8192 8704 14296 16384 17408 28592 30379 32768 34816 57184 60758 65536 69632 114368 121516 139264 228736 243032 278528 457472 486064 557056 914944 972128 1114112 1829888 1944256 3659776 3888512 7319552 7777024 14639104 15554048 29278208 31108096 58556416 62216192 117112832 124432384 248864768 497729536 995459072 1990918144