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5007507753744 = 24321720291008157
BaseRepresentation
bin100100011011110011010…
…1110001000101100010000
3122201201020211021112101200
41020313212232020230100
51124020333441104434
614352230045431200
71024531465421046
oct110674656105420
918651224245350
105007507753744
111660743644021
1268a5a426b500
132a428a6385c2
14134516916396
158a3cb8d6199
hex48de6b88b10

5007507753744 has 120 divisors (see below), whose sum is σ = 14845751607960. Its totient is φ = 1570207002624.

The previous prime is 5007507753733. The next prime is 5007507753751. The reversal of 5007507753744 is 4473577057005.

5007507753744 is a `hidden beast` number, since 50 + 0 + 7 + 50 + 7 + 7 + 537 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3838903513344 + 1168604240400 = 1959312^2 + 1081020^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4462914 + ... + 5471070.

It is an arithmetic number, because the mean of its divisors is an integer number (123714596733).

Almost surely, 25007507753744 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 5007507753744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422875803980).

5007507753744 is an abundant number, since it is smaller than the sum of its proper divisors (9838243854216).

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

5007507753744 is a wasteful number, since it uses less digits than its factorization.

5007507753744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010217 (or 1010208 counting only the distinct ones).

The product of its (nonzero) digits is 14406000, while the sum is 54.

The spelling of 5007507753744 in words is "five trillion, seven billion, five hundred seven million, seven hundred fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2029 2448 4058 6087 8116 12174 16232 18261 24348 32464 34493 36522 48696 68986 73044 97392 103479 137972 146088 206958 275944 292176 310437 413916 551888 620874 827832 1008157 1241748 1655664 2016314 2483496 3024471 4032628 4966992 6048942 8065256 9073413 12097884 16130512 17138669 18146826 24195768 34277338 36293652 48391536 51416007 68554676 72587304 102832014 137109352 145174608 154248021 205664028 274218704 308496042 411328056 616992084 822656112 1233984168 2045550553 2467968336 4091101106 6136651659 8182202212 12273303318 16364404424 18409954977 24546606636 32728808848 34774359401 36819909954 49093213272 69548718802 73639819908 98186426544 104323078203 139097437604 147279639816 208646156406 278194875208 294559279632 312969234609 417292312812 556389750416 625938469218 834584625624 1251876938436 1669169251248 2503753876872 5007507753744