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42104554432 = 2617412813359
BaseRepresentation
bin100111001101101000…
…001000001111000000
311000200100010222102221
4213031220020033000
51142212231220212
631201554420424
73020250544003
oct471550101700
9130610128387
1042104554432
1116946a17a26
1281b0891714
133c800a6445
142075cc153a
15116664d807
hex9cda083c0

42104554432 has 112 divisors (see below), whose sum is σ = 90973290240. Its totient is φ = 19256115200.

The previous prime is 42104554411. The next prime is 42104554493. The reversal of 42104554432 is 23445540124.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 12533169 + ... + 12536527.

It is an arithmetic number, because the mean of its divisors is an integer number (812261520).

Almost surely, 242104554432 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 42104554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45486645120).

42104554432 is an abundant number, since it is smaller than the sum of its proper divisors (48868735808).

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

42104554432 is a wasteful number, since it uses less digits than its factorization.

42104554432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 42104554432 in words is "forty-two billion, one hundred four million, five hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 281 328 544 562 656 697 1088 1124 1312 1394 2248 2624 2788 3359 4496 4777 5576 6718 8992 9554 11152 11521 13436 17984 19108 22304 23042 26872 38216 44608 46084 53744 57103 76432 92168 107488 114206 137719 152864 184336 195857 214976 228412 275438 305728 368672 391714 456824 550876 737344 783428 913648 943879 1101752 1566856 1827296 1887758 2203504 2341223 3133712 3654592 3775516 4407008 4682446 6267424 7551032 8814016 9364892 12534848 15102064 16045943 18729784 30204128 32091886 37459568 38699039 60408256 64183772 74919136 77398078 128367544 149838272 154796156 256735088 309592312 513470176 619184624 657883663 1026940352 1238369248 1315767326 2476738496 2631534652 5263069304 10526138608 21052277216 42104554432