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146120479956 = 223311122997037
BaseRepresentation
bin1000100000010101110…
…1011001010011010100
3111222011101110110212000
42020011131121103110
54343223320324311
6151043220555300
713362000405123
oct2100535312324
9458141413760
10146120479956
1156a73224340
122439b552b30
1310a188c2279
14710243daba
153c03207056
hex22057594d4

146120479956 has 48 divisors (see below), whose sum is σ = 413270047680. Its totient is φ = 44278932960.

The previous prime is 146120479943. The next prime is 146120479969. The reversal of 146120479956 is 659974021641.

146120479956 is a `hidden beast` number, since 1 + 4 + 61 + 20 + 479 + 95 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (146120479943) and next prime (146120479969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61497331 + ... + 61499706.

It is an arithmetic number, because the mean of its divisors is an integer number (8609792660).

Almost surely, 2146120479956 is an apocalyptic number.

It is an amenable number.

146120479956 is an abundant number, since it is smaller than the sum of its proper divisors (267149567724).

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

146120479956 is a wasteful number, since it uses less digits than its factorization.

146120479956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122997061 (or 122997053 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 146120479956 in words is "one hundred forty-six billion, one hundred twenty million, four hundred seventy-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 122997037 245994074 368991111 491988148 737982222 1106973333 1352967407 1475964444 2213946666 2705934814 3320919999 4058902221 4427893332 5411869628 6641839998 8117804442 12176706663 13283679996 16235608884 24353413326 36530119989 48706826652 73060239978 146120479956