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4424382717504 = 2631713331101681
BaseRepresentation
bin100000001100010000111…
…0000101001111001000000
3120122222002211122110100020
41000120201300221321000
51034442113433430004
613224311112253440
7634436220406101
oct100304160517100
916588084573306
104424382717504
111456408778572
125b55849a1280
132612a9b03169
141141d98c43a8
157a14d2928d9
hex40621c29e40

4424382717504 has 112 divisors (see below), whose sum is σ = 12395829733056. Its totient is φ = 1387923865600.

The previous prime is 4424382717467. The next prime is 4424382717509. The reversal of 4424382717504 is 4057172834244.

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 Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4424382717509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43461544 + ... + 43563224.

It is an arithmetic number, because the mean of its divisors is an integer number (110677051188).

Almost surely, 24424382717504 is an apocalyptic number.

It is an amenable number.

4424382717504 is an abundant number, since it is smaller than the sum of its proper divisors (7971447015552).

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

4424382717504 is a wasteful number, since it uses less digits than its factorization.

4424382717504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115044 (or 115034 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 51.

The spelling of 4424382717504 in words is "four trillion, four hundred twenty-four billion, three hundred eighty-two million, seven hundred seventeen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 13331 26662 39993 53324 79986 101681 106648 159972 203362 213296 226627 305043 319944 406724 426592 453254 610086 639888 679881 813448 853184 906508 1220172 1279776 1359762 1626896 1728577 1813016 2440344 2559552 2719524 3253792 3457154 3626032 4880688 5185731 5439048 6507584 6914308 7252064 9761376 10371462 10878096 13828616 14504128 19522752 20742924 21756192 27657232 41485848 43512384 55314464 82971696 110628928 165943392 331886784 1355509411 2711018822 4066528233 5422037644 8133056466 10844075288 16266112932 21688150576 23043659987 32532225864 43376301152 46087319974 65064451728 69130979961 86752602304 92174639948 130128903456 138261959922 184349279896 260257806912 276523919844 368698559792 553047839688 737397119584 1106095679376 1474794239168 2212191358752 4424382717504