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484008040008 = 23337149963247
BaseRepresentation
bin1110000101100010010…
…00001001011001001000
31201021022100111222021000
413002301020021121020
530412222024240013
61010203352015000
746653112313313
oct7026110113110
91637270458230
10484008040008
111772a2a14239
1279979391460
1336845c4b25c
14195d738597a
15c8cbbc9973
hex70b1209648

484008040008 has 128 divisors (see below), whose sum is σ = 1366156800000. Its totient is φ = 158742400320.

The previous prime is 484008040001. The next prime is 484008040081. The reversal of 484008040008 is 800040800484.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (484008040001) 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, 7621041 + ... + 7684287.

It is an arithmetic number, because the mean of its divisors is an integer number (10673100000).

Almost surely, 2484008040008 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 484008040008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683078400000).

484008040008 is an abundant number, since it is smaller than the sum of its proper divisors (882148759992).

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

484008040008 is a wasteful number, since it uses less digits than its factorization.

484008040008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63832 (or 63822 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 484008040008 in words is "four hundred eighty-four billion, eight million, forty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 499 568 639 852 998 1278 1497 1704 1917 1996 2556 2994 3834 3992 4491 5112 5988 7668 8982 11976 13473 15336 17964 26946 35429 35928 53892 63247 70858 106287 107784 126494 141716 189741 212574 252988 283432 318861 379482 425148 505976 569223 637722 758964 850296 956583 1138446 1275444 1517928 1707669 1913166 2276892 2550888 3415338 3826332 4490537 4553784 6830676 7652664 8981074 13471611 13661352 17962148 26943222 31560253 35924296 40414833 53886444 63120506 80829666 94680759 107772888 121244499 126241012 161659332 189361518 242488998 252482024 284042277 323318664 378723036 484977996 568084554 757446072 852126831 969955992 1136169108 1704253662 2240777963 2272338216 3408507324 4481555926 6722333889 6817014648 8963111852 13444667778 17926223704 20167001667 26889335556 40334003334 53778671112 60501005001 80668006668 121002010002 161336013336 242004020004 484008040008