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1916396544 = 21031932833
BaseRepresentation
bin111001000111001…
…1110010000000000
311221120001000211210
41302032132100000
512411044142134
6514055010120
765330046636
oct16216362000
94846030753
101916396544
118a38350a7
12455969940
13247054a6a
14142735356
15b339b2e9
hex7239e400

1916396544 has 88 divisors (see below), whose sum is σ = 5376895840. Its totient is φ = 605159424.

The previous prime is 1916396483. The next prime is 1916396549. The reversal of 1916396544 is 4456936191.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1916396493 and 1916396502.

It is not an unprimeable number, because it can be changed into a prime (1916396549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41952 + ... + 74784.

Almost surely, 21916396544 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 1916396544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688447920).

1916396544 is an abundant number, since it is smaller than the sum of its proper divisors (3460499296).

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

1916396544 is a wasteful number, since it uses less digits than its factorization.

1916396544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32875 (or 32857 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 1916396544 is about 43776.6666615904. Note that the first 5 decimals coincide. The cubic root of 1916396544 is about 1242.1149615737.

The spelling of 1916396544 in words is "one billion, nine hundred sixteen million, three hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 19456 29184 32833 58368 65666 98499 131332 196998 262664 393996 525328 623827 787992 1050656 1247654 1575984 1871481 2101312 2495308 3151968 3742962 4202624 4990616 6303936 7485924 8405248 9981232 12607872 14971848 16810496 19962464 25215744 29943696 33620992 39924928 50431488 59887392 79849856 100862976 119774784 159699712 239549568 319399424 479099136 638798848 958198272 1916396544