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11961049672 = 23111331367919
BaseRepresentation
bin10110010001110111…
…10010001001001000
31010212120211021112201
423020323302021020
5143444012042142
65254514445544
7602256146635
oct131073621110
933776737481
1011961049672
115088778720
1223998938b4
1311880779b0
1481679d18c
154a0129ab7
hex2c8ef2248

11961049672 has 128 divisors (see below), whose sum is σ = 27301478400. Its totient is φ = 4838227200.

The previous prime is 11961049637. The next prime is 11961049729. The reversal of 11961049672 is 27694016911.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13014829 + ... + 13015747.

It is an arithmetic number, because the mean of its divisors is an integer number (213292800).

Almost surely, 211961049672 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 11961049672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650739200).

11961049672 is an abundant number, since it is smaller than the sum of its proper divisors (15340428728).

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

11961049672 is a wasteful number, since it uses less digits than its factorization.

11961049672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 11961049672 in words is "eleven billion, nine hundred sixty-one million, forty-nine thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 367 403 572 682 734 806 919 1144 1364 1468 1612 1838 2728 2936 3224 3676 4037 4433 4771 7352 8074 8866 9542 10109 11377 11947 16148 17732 19084 20218 22754 23894 28489 32296 35464 38168 40436 45508 47788 52481 56978 80872 91016 95576 104962 113956 125147 131417 147901 209924 227912 250294 262834 295802 313379 337273 370357 419848 500588 525668 591604 626758 674546 740714 1001176 1051336 1183208 1253516 1349092 1481428 1626911 2507032 2698184 2962856 3253822 3710003 4073927 4384549 6507644 7420006 8147854 8769098 10455463 13015288 14840012 16295708 17538196 20910926 29680024 32591416 35076392 41821852 48230039 83643704 96460078 115010093 135921019 192920156 230020186 271842038 385840312 460040372 543684076 920080744 1087368152 1495131209 2990262418 5980524836 11961049672