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45345341760 = 2635311523701
BaseRepresentation
bin101010001110110010…
…110000000101000000
311100001012021000220020
4222032302300011000
51220331401414020
632455324013440
73163462021365
oct521662600500
9140035230806
1045345341760
111825a299464
128956091280
134378625c94
1422a248646c
1512a5e06c40
hexa8ecb0140

45345341760 has 112 divisors (see below), whose sum is σ = 148615798272. Its totient is φ = 11702016000.

The previous prime is 45345341711. The next prime is 45345341771. The reversal of 45345341760 is 6714354354.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732091 + ... + 791610.

Almost surely, 245345341760 is an apocalyptic number.

45345341760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45345341760 is an abundant number, since it is smaller than the sum of its proper divisors (103270456512).

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

45345341760 is a wasteful number, since it uses less digits than its factorization.

45345341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523752 (or 1523742 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 45345341760 in words is "forty-five billion, three hundred forty-five million, three hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 1523701 3047402 4571103 6094804 7618505 9142206 12189608 15237010 18284412 22855515 24379216 30474020 36568824 45711030 47234731 48758432 60948040 73137648 91422060 94469462 97516864 121896080 141704193 146275296 182844120 188938924 236173655 243792160 283408386 292550592 365688240 377877848 472347310 487584320 566816772 708520965 731376480 755755696 944694620 1133633544 1417041930 1462752960 1511511392 1889389240 2267267088 2834083860 3023022784 3778778480 4534534176 5668167720 7557556960 9069068352 11336335440 15115113920 22672670880 45345341760