Search a number
-
+
21501099984 = 2437138395867
BaseRepresentation
bin10100000001100100…
…001011111111010000
32001111110010001022110
4110001210023333100
5323013240144414
613513311105320
71360550222460
oct240144137720
961443101273
1021501099984
1191338a0721
124200812240
132048693790
14107d7d3ba0
1585c931459
hex50190bfd0

21501099984 has 160 divisors (see below), whose sum is σ = 68455618560. Its totient is φ = 5662895616.

The previous prime is 21501099923. The next prime is 21501100039. The reversal of 21501099984 is 48999010512.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 3661819 + ... + 3667685.

It is an arithmetic number, because the mean of its divisors is an integer number (427847616).

Almost surely, 221501099984 is an apocalyptic number.

21501099984 is a gapful number since it is divisible by the number (24) 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 21501099984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34227809280).

21501099984 is an abundant number, since it is smaller than the sum of its proper divisors (46954518576).

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

21501099984 is a wasteful number, since it uses less digits than its factorization.

21501099984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 21501099984 in words is "twenty-one billion, five hundred one million, ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 839 1092 1456 1678 2184 2517 3356 4368 5034 5867 5873 6712 10068 10907 11734 11746 13424 17601 17619 20136 21814 23468 23492 32721 35202 35238 40272 41069 43628 46936 46984 65442 70404 70476 76271 76349 82138 87256 93872 93968 123207 130884 140808 140952 152542 152698 164276 174512 228813 229047 246414 261768 281616 281904 305084 305396 328552 457626 458094 492828 523536 533897 610168 610792 657104 915252 916188 985656 1067794 1220336 1221584 1601691 1830504 1832376 1971312 2135588 3203382 3661008 3664752 4271176 4922413 6406764 8542352 9844826 12813528 14767239 19689652 25627056 29534478 34456891 39379304 59068956 63991369 68913782 78758608 103370673 118137912 127982738 137827564 191974107 206741346 236275824 255965476 275655128 383948214 413482692 447939583 511930952 551310256 767896428 826965384 895879166 1023861904 1343818749 1535792856 1653930768 1791758332 2687637498 3071585712 3583516664 5375274996 7167033328 10750549992 21501099984