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20147406384 = 24371716721121
BaseRepresentation
bin10010110000111000…
…010000011000110000
31221000002220021210110
4102300320100120300
5312230214001014
613131112501320
71312162062060
oct226070203060
957002807713
1020147406384
1185a975a686
123aa33aa840
131b910a9151
14d91ad73a0
157cdb86d59
hex4b0e10630

20147406384 has 160 divisors (see below), whose sum is σ = 63361944576. Its totient is φ = 5385093120.

The previous prime is 20147406359. The next prime is 20147406403. The reversal of 20147406384 is 48360474102.

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, 943344 + ... + 964464.

Almost surely, 220147406384 is an apocalyptic number.

20147406384 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 20147406384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31680972288).

20147406384 is an abundant number, since it is smaller than the sum of its proper divisors (43214538192).

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

20147406384 is a wasteful number, since it uses less digits than its factorization.

20147406384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21323 (or 21317 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 20147406384 in words is "twenty billion, one hundred forty-seven million, four hundred six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 167 168 204 238 272 334 336 357 408 476 501 668 714 816 952 1002 1169 1336 1428 1904 2004 2338 2672 2839 2856 3507 4008 4676 5678 5712 7014 8016 8517 9352 11356 14028 17034 18704 19873 21121 22712 28056 34068 39746 42242 45424 56112 59619 63363 68136 79492 84484 119238 126726 136272 147847 158984 168968 238476 253452 295694 317968 337936 359057 443541 476952 506904 591388 718114 887082 953904 1013808 1077171 1182776 1436228 1774164 2154342 2365552 2513399 2872456 3527207 3548328 4308684 5026798 5744912 7054414 7096656 7540197 8617368 10053596 10581621 14108828 15080394 17234736 20107192 21163242 24690449 28217656 30160788 40214384 42326484 49380898 56435312 59962519 60321576 74071347 84652968 98761796 119925038 120643152 148142694 169305936 179887557 197523592 239850076 296285388 359775114 395047184 419737633 479700152 592570776 719550228 839475266 959400304 1185141552 1259212899 1439100456 1678950532 2518425798 2878200912 3357901064 5036851596 6715802128 10073703192 20147406384