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11201748984 = 2333194496079
BaseRepresentation
bin10100110111010110…
…10001111111111000
31001220200001210211000
422123223101333320
5140420121431414
65051312205000
7544406203206
oct123353217770
931820053730
1011201748984
114829105898
122207539760
131096974a4a
147839ca076
15458641b09
hex29bad1ff8

11201748984 has 128 divisors (see below), whose sum is σ = 32832000000. Its totient is φ = 3528935424.

The previous prime is 11201748983. The next prime is 11201748991. The reversal of 11201748984 is 48984710211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201748983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1839657 + ... + 1845735.

It is an arithmetic number, because the mean of its divisors is an integer number (256500000).

Almost surely, 211201748984 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 11201748984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416000000).

11201748984 is an abundant number, since it is smaller than the sum of its proper divisors (21630251016).

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

11201748984 is a wasteful number, since it uses less digits than its factorization.

11201748984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6552 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11201748984 in words is "eleven billion, two hundred one million, seven hundred forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 449 456 513 684 898 1026 1347 1368 1796 2052 2694 3592 4041 4104 5388 6079 8082 8531 10776 12123 12158 16164 17062 18237 24246 24316 25593 32328 34124 36474 48492 48632 51186 54711 68248 72948 76779 96984 102372 109422 115501 145896 153558 164133 204744 218844 230337 231002 307116 328266 346503 437688 460674 462004 614232 656532 693006 921348 924008 1039509 1313064 1386012 1842696 2079018 2729471 2772024 3118527 4158036 5458942 6237054 8188413 8316072 10917884 12474108 16376826 21835768 24565239 24948216 32753652 49130478 51859949 65507304 73695717 98260956 103719898 147391434 155579847 196521912 207439796 294782868 311159694 414879592 466739541 589565736 622319388 933479082 1244638776 1400218623 1866958164 2800437246 3733916328 5600874492 11201748984