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146120877984 = 2533847395657
BaseRepresentation
bin1000100000010101111…
…0111010011110100000
3111222011102012200211210
42020011132322132200
54343223421043414
6151043233310120
713362003653424
oct2100536723640
9458142180753
10146120877984
1156a73476394
122439b705340
1310a18a014a3
147102504b84
153c03284e59
hex22057ba7a0

146120877984 has 48 divisors (see below), whose sum is σ = 383667979968. Its totient is φ = 48694175232.

The previous prime is 146120877983. The next prime is 146120877989. The reversal of 146120877984 is 489778021641.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (146120877983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171484 + ... + 567140.

It is an arithmetic number, because the mean of its divisors is an integer number (7993082916).

Almost surely, 2146120877984 is an apocalyptic number.

It is an amenable number.

146120877984 is an abundant number, since it is smaller than the sum of its proper divisors (237547101984).

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

146120877984 is a wasteful number, since it uses less digits than its factorization.

146120877984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399517 (or 399509 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 146120877984 in words is "one hundred forty-six billion, one hundred twenty million, eight hundred seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3847 7694 11541 15388 23082 30776 46164 61552 92328 123104 184656 369312 395657 791314 1186971 1582628 2373942 3165256 4747884 6330512 9495768 12661024 18991536 37983072 1522092479 3044184958 4566277437 6088369916 9132554874 12176739832 18265109748 24353479664 36530219496 48706959328 73060438992 146120877984