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5645506877824 = 271117257917737
BaseRepresentation
bin101001000100111001001…
…1011101001100110000000
3201222201001002012002121211
41102021302123221212000
51214443444230042244
620001302101055504
71121605631456302
oct122116233514600
921881032162554
105645506877824
1118872784aa9a0
127721789b7594
1331c4a49553c8
1415735b721972
159bcbc753934
hex522726e9980

5645506877824 has 128 divisors (see below), whose sum is σ = 13041644332320. Its totient is φ = 2405789859840.

The previous prime is 5645506877771. The next prime is 5645506877833. The reversal of 5645506877824 is 4287786055465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5645506877824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5692684 + ... + 6610420.

Almost surely, 25645506877824 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 5645506877824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520822166160).

5645506877824 is an abundant number, since it is smaller than the sum of its proper divisors (7396137454496).

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

5645506877824 is a wasteful number, since it uses less digits than its factorization.

5645506877824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918036 (or 918024 counting only the distinct ones).

The product of its (nonzero) digits is 451584000, while the sum is 67.

The spelling of 5645506877824 in words is "five trillion, six hundred forty-five billion, five hundred six million, eight hundred seventy-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 257 272 352 374 514 544 704 748 1028 1088 1408 1496 2056 2176 2827 2992 4112 4369 5654 5984 8224 8738 11308 11968 16448 17476 22616 23936 32896 34952 45232 48059 69904 90464 96118 139808 180928 192236 279616 361856 384472 559232 768944 917737 1537888 1835474 3075776 3670948 6151552 7341896 10095107 14683792 15601529 20190214 29367584 31203058 40380428 58735168 62406116 80760856 117470336 124812232 161521712 171616819 235858409 249624464 323043424 343233638 471716818 499248928 646086848 686467276 943433636 998497856 1292173696 1372934552 1886867272 1996995712 2594442499 2745869104 3773734544 4009592953 5188884998 5491738208 7547469088 8019185906 10377769996 10983476416 15094938176 16038371812 20755539992 21966952832 30189876352 32076743624 41511079984 44105522483 64153487248 83022159968 88211044966 128306974496 166044319936 176422089932 256613948992 332088639872 352844179864 513227897984 705688359728 1411376719456 2822753438912 5645506877824