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11631780336 = 2431124742611
BaseRepresentation
bin10101101010100111…
…01110000111110000
31010000122020122221010
422311103232013300
5142310213432321
65202113230520
7561150334011
oct126523560760
933018218833
1011631780336
114a29922800
122307562440
131134a9c677
147c4b6b008
15481288676
hex2b54ee1f0

11631780336 has 120 divisors (see below), whose sum is σ = 33732340992. Its totient is φ = 3449705600.

The previous prime is 11631780323. The next prime is 11631780359. The reversal of 11631780336 is 63308713611.

It is a super-3 number, since 3×116317803363 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11631780294 and 11631780303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251671 + ... + 294281.

Almost surely, 211631780336 is an apocalyptic number.

11631780336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11631780336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866170496).

11631780336 is an abundant number, since it is smaller than the sum of its proper divisors (22100560656).

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

11631780336 is a wasteful number, since it uses less digits than its factorization.

11631780336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42691 (or 42674 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 11631780336 in words is "eleven billion, six hundred thirty-one million, seven hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 121 132 141 176 188 242 264 282 363 376 484 517 528 564 726 752 968 1034 1128 1452 1551 1936 2068 2256 2904 3102 4136 5687 5808 6204 8272 11374 12408 17061 22748 24816 34122 42611 45496 68244 85222 90992 127833 136488 170444 255666 272976 340888 468721 511332 681776 937442 1022664 1406163 1874884 2002717 2045328 2812326 3749768 4005434 5155931 5624652 6008151 7499536 8010868 10311862 11249304 12016302 15467793 16021736 20623724 22029887 22498608 24032604 30935586 32043472 41247448 44059774 48065208 61871172 66089661 82494896 88119548 96130416 123742344 132179322 176239096 242328757 247484688 264358644 352478192 484657514 528717288 726986271 969315028 1057434576 1453972542 1938630056 2907945084 3877260112 5815890168 11631780336