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45286207792 = 24717474631093
BaseRepresentation
bin101010001011010001…
…001011000100110000
311022220001222201100021
4222023101023010300
51220221232122132
632445412333224
73162143262220
oct521321130460
9138801881307
1045286207792
111822997a211
12893a314214
1343692c0277
142298692080
1512a0b25997
hexa8b44b130

45286207792 has 160 divisors (see below), whose sum is σ = 108767895552. Its totient is φ = 17823117312.

The previous prime is 45286207739. The next prime is 45286207793. The reversal of 45286207792 is 29770268254.

It is not an unprimeable number, because it can be changed into a prime (45286207793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41432398 + ... + 41433490.

Almost surely, 245286207792 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 45286207792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54383947776).

45286207792 is an abundant number, since it is smaller than the sum of its proper divisors (63481687760).

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

45286207792 is a wasteful number, since it uses less digits than its factorization.

45286207792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 45286207792 in words is "forty-five billion, two hundred eighty-six million, two hundred seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 47 56 68 94 112 119 136 188 238 272 329 376 463 476 658 752 799 926 952 1093 1316 1598 1852 1904 2186 2632 3196 3241 3704 4372 5264 5593 6392 6482 7408 7651 7871 8744 11186 12784 12964 15302 15742 17488 18581 21761 22372 25928 30604 31484 37162 43522 44744 51371 51856 55097 61208 62968 74324 87044 89488 102742 110194 122416 125936 130067 148648 152327 174088 205484 220388 260134 297296 304654 348176 359597 369937 410968 440776 506059 520268 609308 719194 739874 821936 873307 881552 1012118 1040536 1218616 1438388 1479748 1746614 2024236 2081072 2437232 2589559 2876776 2959496 3493228 3542413 4048472 5179118 5753552 5918992 6113149 6986456 7084826 8096944 8603003 10358236 12226298 13972912 14169652 17206006 20716472 23784773 24452596 28339304 34412012 41432944 47569546 48905192 56678608 60221021 68824024 95139092 97810384 120442042 137648048 166493411 190278184 240884084 332986822 380556368 404341141 481768168 665973644 808682282 963536336 1331947288 1617364564 2663894576 2830387987 3234729128 5660775974 6469458256 11321551948 22643103896 45286207792