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11620423632 = 2434783229271
BaseRepresentation
bin10101101001010000…
…11001011111010000
31002222211212200110110
422310220121133100
5142244312024012
65201030001320
7560651654046
oct126450313720
932884780413
1011620423632
114a234762a4
1223037a6240
13113262441c
147c3452396
1548029373c
hex2b4a197d0

11620423632 has 160 divisors (see below), whose sum is σ = 31277998080. Its totient is φ = 3715269120.

The previous prime is 11620423631. The next prime is 11620423637. The reversal of 11620423632 is 23632402611.

It is a self number, because there is not a number n which added to its sum of digits gives 11620423632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11620423631) 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, 42879657 + ... + 42879927.

It is an arithmetic number, because the mean of its divisors is an integer number (195487488).

Almost surely, 211620423632 is an apocalyptic number.

11620423632 is a gapful number since it is divisible by the number (12) 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 11620423632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15638999040).

11620423632 is an abundant number, since it is smaller than the sum of its proper divisors (19657574448).

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

11620423632 is a wasteful number, since it uses less digits than its factorization.

11620423632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 11620423632 in words is "eleven billion, six hundred twenty million, four hundred twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 83 94 141 166 188 229 249 271 282 332 376 458 498 542 564 664 687 752 813 916 996 1084 1128 1328 1374 1626 1832 1992 2168 2256 2748 3252 3664 3901 3984 4336 5496 6504 7802 10763 10992 11703 12737 13008 15604 19007 21526 22493 23406 25474 31208 32289 38014 38211 43052 44986 46812 50948 57021 62059 62416 64578 67479 76028 76422 86104 89972 93624 101896 114042 124118 129156 134958 152056 152844 172208 179944 186177 187248 203792 228084 248236 258312 269916 304112 305688 359888 372354 456168 496472 516624 539832 611376 744708 893329 912336 992944 1057171 1079664 1489416 1786658 2114342 2679987 2916773 2978832 3171513 3573316 4228684 5150897 5359974 5833546 6343026 7146632 8457368 8750319 10301794 10719948 11667092 12686052 14293264 15452691 16914736 17500638 20603588 21439896 23334184 25372104 30905382 35001276 41207176 42879792 46668368 50744208 61810764 70002552 82414352 123621528 140005104 242092159 247243056 484184318 726276477 968368636 1452552954 1936737272 2905105908 3873474544 5810211816 11620423632