Search a number
-
+
5777648961372 = 22321371171461671
BaseRepresentation
bin101010000010011011010…
…1101101100011101011100
3202110100010021211110110100
41110010312231230131130
51224130111113230442
620142114300341100
71134264345604221
oct124046655543534
922410107743410
105777648961372
111928318241102
127938b6b44790
1332baa3560aa2
1415d8d54ad948
15a045369384c
hex54136b6c75c

5777648961372 has 36 divisors (see below), whose sum is σ = 14711215676976. Its totient is φ = 1911825445440.

The previous prime is 5777648961313. The next prime is 5777648961377. The reversal of 5777648961372 is 2731698467775.

5777648961372 is a `hidden beast` number, since 5 + 7 + 7 + 7 + 6 + 489 + 6 + 137 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5777648961372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5777648961377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585725904 + ... + 585735767.

It is an arithmetic number, because the mean of its divisors is an integer number (408644879916).

Almost surely, 25777648961372 is an apocalyptic number.

It is an amenable number.

5777648961372 is an abundant number, since it is smaller than the sum of its proper divisors (8933566715604).

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

5777648961372 is a wasteful number, since it uses less digits than its factorization.

5777648961372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171461818 (or 1171461813 counting only the distinct ones).

The product of its digits is 746807040, while the sum is 72.

The spelling of 5777648961372 in words is "five trillion, seven hundred seventy-seven billion, six hundred forty-eight million, nine hundred sixty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 1171461671 2342923342 3514385013 4685846684 7028770026 10543155039 14057540052 21086310078 42172620156 160490248927 320980497854 481470746781 641960995708 962941493562 1444412240343 1925882987124 2888824480686 5777648961372