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45277332760 = 235111376911087
BaseRepresentation
bin101010001010101111…
…010100010100011000
311022212110021211002101
4222022233110110120
51220211444122020
632444454213144
73162004656412
oct521257242430
9138773254071
1045277332760
1118224968280
1289373541b4
13436750377a
1422974219b2
15129ee7100a
hexa8abd4518

45277332760 has 128 divisors (see below), whose sum is σ = 112211619840. Its totient is φ = 16305638400.

The previous prime is 45277332743. The next prime is 45277332791. The reversal of 45277332760 is 6723377254.

It is a self number, because there is not a number n which added to its sum of digits gives 45277332760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41652937 + ... + 41654023.

It is an arithmetic number, because the mean of its divisors is an integer number (876653280).

Almost surely, 245277332760 is an apocalyptic number.

45277332760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45277332760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56105809920).

45277332760 is an abundant number, since it is smaller than the sum of its proper divisors (66934287080).

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

45277332760 is a wasteful number, since it uses less digits than its factorization.

45277332760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 46.

The spelling of 45277332760 in words is "forty-five billion, two hundred seventy-seven million, three hundred thirty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 137 220 274 440 548 685 691 1087 1096 1370 1382 1507 2174 2740 2764 3014 3455 4348 5435 5480 5528 6028 6910 7535 7601 8696 10870 11957 12056 13820 15070 15202 21740 23914 27640 30140 30404 38005 43480 47828 59785 60280 60808 76010 94667 95656 119570 148919 152020 189334 239140 297838 304040 378668 473335 478280 595676 744595 751117 757336 946670 1041337 1191352 1489190 1502234 1638109 1893340 2082674 2978380 3004468 3276218 3755585 3786680 4165348 5206685 5956760 6008936 6552436 7511170 8190545 8262287 8330696 10413370 13104872 15022340 16381090 16524574 20826740 30044680 32762180 33049148 41311435 41653480 65524360 66098296 82622870 102903029 165245740 205806058 330491480 411612116 514515145 823224232 1029030290 1131933319 2058060580 2263866638 4116121160 4527733276 5659666595 9055466552 11319333190 22638666380 45277332760