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1155149916 = 2231937149919
BaseRepresentation
bin100010011011010…
…0011000001011100
32222111121200210020
41010312203001130
54331204244131
6310342512140
740424420004
oct10466430134
92874550706
101155149916
11543063258
12282a35650
1315542017b
14ad5b7004
156b62b996
hex44da305c

1155149916 has 96 divisors (see below), whose sum is σ = 2936640000. Its totient is φ = 352159488.

The previous prime is 1155149911. The next prime is 1155149917. The reversal of 1155149916 is 6199415511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155149911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1256505 + ... + 1257423.

It is an arithmetic number, because the mean of its divisors is an integer number (30590000).

Almost surely, 21155149916 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 1155149916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468320000).

1155149916 is an abundant number, since it is smaller than the sum of its proper divisors (1781490084).

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

1155149916 is a wasteful number, since it uses less digits than its factorization.

1155149916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

The product of its digits is 48600, while the sum is 42.

The square root of 1155149916 is about 33987.4964656122. The cubic root of 1155149916 is about 1049.2511413254.

The spelling of 1155149916 in words is "one billion, one hundred fifty-five million, one hundred forty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 149 222 228 298 444 447 596 703 894 919 1406 1788 1838 2109 2757 2812 2831 3676 4218 5513 5514 5662 8436 8493 11026 11028 11324 16539 16986 17461 22052 33078 33972 34003 34922 52383 66156 68006 69844 102009 104747 104766 136012 136931 204018 209494 209532 273862 314241 408036 410793 418988 547724 628482 646057 821586 1256964 1292114 1643172 1938171 2584228 2601689 3876342 5066447 5203378 7752684 7805067 10132894 10406756 15199341 15610134 20265788 30398682 31220268 60797364 96262493 192524986 288787479 385049972 577574958 1155149916