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145577432436 = 22395327914561
BaseRepresentation
bin1000011110010100010…
…1110101010101110100
3111220202112121210200220
42013211011311111310
54341120310314221
6150513301334340
713342354521162
oct2074505652564
9456675553626
10145577432436
1156814735737
12242697073b0
1310960247487
147090280232
153bc06d90c6
hex21e5175574

145577432436 has 48 divisors (see below), whose sum is σ = 340233522048. Its totient is φ = 48446899200.

The previous prime is 145577432423. The next prime is 145577432449. The reversal of 145577432436 is 634234775541.

145577432436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145577432423) and next prime (145577432449).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31915596 + ... + 31920156.

It is an arithmetic number, because the mean of its divisors is an integer number (7088198376).

Almost surely, 2145577432436 is an apocalyptic number.

It is an amenable number.

145577432436 is an abundant number, since it is smaller than the sum of its proper divisors (194656089612).

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

145577432436 is a wasteful number, since it uses less digits than its factorization.

145577432436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8310 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 51.

The spelling of 145577432436 in words is "one hundred forty-five billion, five hundred seventy-seven million, four hundred thirty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 953 1906 2791 2859 3812 4561 5582 5718 8373 9122 11164 11436 13683 16746 18244 27366 33492 54732 2659823 4346633 5319646 7979469 8693266 10639292 12729751 13039899 15958938 17386532 25459502 26079798 31917876 38189253 50919004 52159596 76378506 152757012 12131452703 24262905406 36394358109 48525810812 72788716218 145577432436