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495145135752 = 233172421169567
BaseRepresentation
bin1110011010010001111…
…00110010111010001000
31202100001111221001111120
413031020330302322020
531103024123321002
61015244434355240
750526105132231
oct7151074627210
91670044831446
10495145135752
11180a985800a3
127bb6712bb20
13378cc3a7037
1419d72542088
15cd2e7e9cbc
hex7348f32e88

495145135752 has 96 divisors (see below), whose sum is σ = 1318092760320. Its totient is φ = 154969758720.

The previous prime is 495145135711. The next prime is 495145135777. The reversal of 495145135752 is 257531541594.

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

It is a junction number, because it is equal to n+sod(n) for n = 495145135695 and 495145135704.

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 23 ways as a sum of consecutive naturals, for example, 2835273 + ... + 3004839.

It is an arithmetic number, because the mean of its divisors is an integer number (13730132920).

Almost surely, 2495145135752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495145135752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659046380160).

495145135752 is an abundant number, since it is smaller than the sum of its proper divisors (822947624568).

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

495145135752 is a wasteful number, since it uses less digits than its factorization.

495145135752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170031 (or 170010 counting only the distinct ones).

The product of its digits is 3780000, while the sum is 51.

The spelling of 495145135752 in words is "four hundred ninety-five billion, one hundred forty-five million, one hundred thirty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 421 578 842 867 1156 1263 1684 1734 2312 2526 3368 3468 5052 6936 7157 10104 14314 21471 28628 42942 57256 85884 121669 169567 171768 243338 339134 365007 486676 508701 678268 730014 973352 1017402 1356536 1460028 2034804 2882639 2920056 4069608 5765278 8647917 11530556 17295834 23061112 34591668 49004863 69183336 71387707 98009726 142775414 147014589 196019452 214163121 285550828 294029178 392038904 428326242 571101656 588058356 856652484 1176116712 1213591019 1713304968 2427182038 3640773057 4854364076 7281546114 9708728152 14563092228 20631047323 29126184456 41262094646 61893141969 82524189292 123786283938 165048378584 247572567876 495145135752