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495747845472 = 253112337126641
BaseRepresentation
bin1110011011011001101…
…11111100110101100000
31202101121112000212210210
413031230313330311200
531110242422023342
61015424324454120
750550044105355
oct7155467746540
91671545025723
10495747845472
11181277809900
12800b4b4a340
13379972110c9
1419dcc5d262c
15cd676a079c
hex736cdfcd60

495747845472 has 144 divisors (see below), whose sum is σ = 1434652245936. Its totient is φ = 149779660800.

The previous prime is 495747845471. The next prime is 495747845501. The reversal of 495747845472 is 274548747594.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495747845471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3851272 + ... + 3977912.

It is an arithmetic number, because the mean of its divisors is an integer number (9962862819).

Almost surely, 2495747845472 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 495747845472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717326122968).

495747845472 is an abundant number, since it is smaller than the sum of its proper divisors (938904400464).

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

495747845472 is a wasteful number, since it uses less digits than its factorization.

495747845472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127013 (or 126994 counting only the distinct ones).

The product of its digits is 316108800, while the sum is 66.

The spelling of 495747845472 in words is "four hundred ninety-five billion, seven hundred forty-seven million, eight hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 337 352 363 484 528 674 726 968 1011 1056 1348 1452 1936 2022 2696 2904 3707 3872 4044 5392 5808 7414 8088 10784 11121 11616 14828 16176 22242 29656 32352 40777 44484 59312 81554 88968 118624 122331 126641 163108 177936 244662 253282 326216 355872 379923 489324 506564 652432 759846 978648 1013128 1304864 1393051 1519692 1957296 2026256 2786102 3039384 3914592 4052512 4179153 5572204 6078768 8358306 11144408 12157536 15323561 16716612 22288816 30647122 33433224 42678017 44577632 45970683 61294244 66866448 85356034 91941366 122588488 128034051 133732896 170712068 183882732 245176976 256068102 341424136 367765464 469458187 490353952 512136204 682848272 735530928 938916374 1024272408 1365696544 1408374561 1471061856 1877832748 2048544816 2816749122 3755665496 4097089632 5164040057 5633498244 7511330992 10328080114 11266996488 15022661984 15492120171 20656160228 22533992976 30984240342 41312320456 45067985952 61968480684 82624640912 123936961368 165249281824 247873922736 495747845472