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45901743576 = 23313297017237
BaseRepresentation
bin101010101111111101…
…010000010111011000
311101110222020011200220
4222233331100113120
51223001321243301
633030441400040
73213326245203
oct525775202730
9141428204626
1045901743576
1118515379377
128a90499020
134436998320
14231632093a
1512d9bb1936
hexaaff505d8

45901743576 has 128 divisors (see below), whose sum is σ = 128043115200. Its totient is φ = 13615257600.

The previous prime is 45901743529. The next prime is 45901743581. The reversal of 45901743576 is 67534710954.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 6339030 + ... + 6346266.

Almost surely, 245901743576 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 45901743576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64021557600).

45901743576 is an abundant number, since it is smaller than the sum of its proper divisors (82141371624).

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

45901743576 is a wasteful number, since it uses less digits than its factorization.

45901743576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7989 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 45901743576 in words is "forty-five billion, nine hundred one million, seven hundred forty-three thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 701 754 1131 1402 1508 2103 2262 2804 3016 4206 4524 5608 7237 8412 9048 9113 14474 16824 18226 20329 21711 27339 28948 36452 40658 43422 54678 57896 60987 72904 81316 86844 94081 109356 121974 162632 173688 188162 209873 218712 243948 264277 282243 376324 419746 487896 528554 564486 629619 752648 792831 839492 1057108 1128972 1259238 1585662 1678984 2114216 2257944 2518476 2728349 3171324 5036952 5073137 5456698 6342648 8185047 10146274 10913396 15219411 16370094 20292548 21826792 30438822 32740188 40585096 60877644 65480376 65950781 121755288 131901562 147120973 197852343 263803124 294241946 395704686 441362919 527606248 588483892 791409372 882725838 1176967784 1582818744 1765451676 1912572649 3530903352 3825145298 5737717947 7650290596 11475435894 15300581192 22950871788 45901743576