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55640100203424 = 25321119924376997
BaseRepresentation
bin11001010011010101110000…
…11010000110101110100000
321022000010211020201211210200
430221222320122012232200
524243101411123002144
6314200413102425200
714501602360222332
oct1451527032065640
9238003736654720
1055640100203424
111680191a037530
1262a7510b92200
132507aba1ac259
14da4dd0c47452
156674d78cac69
hex329ab8686ba0

55640100203424 has 144 divisors (see below), whose sum is σ = 181695542726880. Its totient is φ = 15973234490880.

The previous prime is 55640100203393. The next prime is 55640100203473. The reversal of 55640100203424 is 42430200104655.

55640100203424 is a `hidden beast` number, since 5 + 5 + 6 + 401 + 0 + 0 + 203 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×556401002034243 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 462128307 + ... + 462248690.

It is an arithmetic number, because the mean of its divisors is an integer number (1261774602270).

Almost surely, 255640100203424 is an apocalyptic number.

It is an amenable number.

55640100203424 is an abundant number, since it is smaller than the sum of its proper divisors (126055442523456).

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

55640100203424 is a wasteful number, since it uses less digits than its factorization.

55640100203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924377043 (or 924377032 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 55640100203424 in words is "fifty-five trillion, six hundred forty billion, one hundred million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 60192 924376997 1848753994 2773130991 3697507988 5546261982 7395015976 8319392973 10168146967 11092523964 14790031952 16638785946 17563162943 20336293934 22185047928 29580063904 30504440901 33277571892 35126325886 40672587868 44370095856 52689488829 61008881802 66555143784 70252651772 81345175736 88740191712 91513322703 105378977658 122017763604 133110287568 140505303544 158068466487 162690351472 183026645406 193194792373 210757955316 244035527208 266220575136 281010607088 316136932974 325380702944 366053290812 386389584746 421515910632 488071054416 562021214176 579584377119 632273865948 732106581624 772779169492 843031821264 976142108832 1159168754238 1264547731896 1464213163248 1545558338984 1686063642528 1738753131357 2318337508476 2529095463792 2928426326496 3091116677968 3477506262714 4636675016952 5058190927584 6182233355936 6955012525428 9273350033904 13910025050856 18546700067808 27820050101712 55640100203424