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73234812640 = 25511227183307
BaseRepresentation
bin100010000110100100…
…0101000111011100000
321000000212012221121011
41010031020220323200
52144441103001030
653351004110304
75201553431203
oct1041510507340
9230025187534
1073234812640
1129071162750
121223a235394
136ba1684882
14378a4a393a
151d895d8b2a
hex110d228ee0

73234812640 has 96 divisors (see below), whose sum is σ = 189578600064. Its totient is φ = 26513379840.

The previous prime is 73234812619. The next prime is 73234812671. The reversal of 73234812640 is 4621843237.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 73234812593 and 73234812602.

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, 307867 + ... + 491173.

It is an arithmetic number, because the mean of its divisors is an integer number (1974777084).

Almost surely, 273234812640 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 73234812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94789300032).

73234812640 is an abundant number, since it is smaller than the sum of its proper divisors (116343787424).

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

73234812640 is a wasteful number, since it uses less digits than its factorization.

73234812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183560 (or 183552 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 73234812640 in words is "seventy-three billion, two hundred thirty-four million, eight hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 227 352 440 454 880 908 1135 1760 1816 2270 2497 3632 4540 4994 7264 9080 9988 12485 18160 19976 24970 36320 39952 49940 79904 99880 183307 199760 366614 399520 733228 916535 1466456 1833070 2016377 2932912 3666140 4032754 5865824 7332280 8065508 10081885 14664560 16131016 20163770 29329120 32262032 40327540 41610689 64524064 80655080 83221378 161310160 166442756 208053445 322620320 332885512 416106890 457717579 665771024 832213780 915435158 1331542048 1664427560 1830870316 2288587895 3328855120 3661740632 4577175790 6657710240 7323481264 9154351580 14646962528 18308703160 36617406320 73234812640