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11897433984 = 273196732423
BaseRepresentation
bin10110001010010010…
…00110111110000000
31010201011010021020010
423011021012332000
5143331220341414
65244323144520
7600554343312
oct130511067600
933634107203
1011897433984
115055878277
122380515140
131177b33087
1480c15d7b2
15499760959
hex2c5246f80

11897433984 has 128 divisors (see below), whose sum is σ = 33329030400. Its totient is φ = 3749953536.

The previous prime is 11897433967. The next prime is 11897433991. The reversal of 11897433984 is 48933479811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×118974339842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4908997 + ... + 4911419.

It is an arithmetic number, because the mean of its divisors is an integer number (260383050).

Almost surely, 211897433984 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 11897433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16664515200).

11897433984 is an abundant number, since it is smaller than the sum of its proper divisors (21431596416).

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

11897433984 is a wasteful number, since it uses less digits than its factorization.

11897433984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3120 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 11897433984 in words is "eleven billion, eight hundred ninety-seven million, four hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 673 912 1216 1346 1824 2019 2423 2432 2692 3648 4038 4846 5384 7269 7296 8076 9692 10768 12787 14538 16152 19384 21536 25574 29076 32304 38361 38768 43072 46037 51148 58152 64608 76722 77536 86144 92074 102296 116304 129216 138111 153444 155072 184148 204592 232608 258432 276222 306888 310144 368296 409184 465216 552444 613776 736592 818368 930432 1104888 1227552 1473184 1630679 1636736 2209776 2455104 2946368 3261358 4419552 4892037 4910208 5892736 6522716 8839104 9784074 13045432 17678208 19568148 26090864 30982901 39136296 52181728 61965802 78272592 92948703 104363456 123931604 156545184 185897406 208726912 247863208 313090368 371794812 495726416 626180736 743589624 991452832 1487179248 1982905664 2974358496 3965811328 5948716992 11897433984