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145827371466 = 23371920304563
BaseRepresentation
bin1000011111001111111…
…1010001100111001010
3111221101221221000121000
42013303333101213022
54342123301341331
6150554150355430
713351511130330
oct2076377214712
9457357830530
10145827371466
1156932827617
122431935bb76
131099cc681aa
1470b5541b50
153bd760a0e6
hex21f3fd19ca

145827371466 has 64 divisors (see below), whose sum is σ = 389847628800. Its totient is φ = 39472068528.

The previous prime is 145827371449. The next prime is 145827371483. The reversal of 145827371466 is 664173728541.

145827371466 is a `hidden beast` number, since 1 + 45 + 8 + 2 + 73 + 71 + 466 = 666.

It is an interprime number because it is at equal distance from previous prime (145827371449) and next prime (145827371483).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10145100 + ... + 10159463.

It is an arithmetic number, because the mean of its divisors is an integer number (6091369200).

Almost surely, 2145827371466 is an apocalyptic number.

145827371466 is an abundant number, since it is smaller than the sum of its proper divisors (244020257334).

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

145827371466 is a wasteful number, since it uses less digits than its factorization.

145827371466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20304600 (or 20304594 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 145827371466 in words is "one hundred forty-five billion, eight hundred twenty-seven million, three hundred seventy-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 20304563 40609126 60913689 121827378 142131941 182741067 284263882 365482134 385786697 426395823 548223201 771573394 852791646 1096446402 1157360091 1279187469 2314720182 2558374938 2700506879 3472080273 3837562407 5401013758 6944160546 7675124814 8101520637 10416240819 16203041274 20832481638 24304561911 48609123822 72913685733 145827371466