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147032805456 = 243223227319531
BaseRepresentation
bin1000100011101111010…
…1101001000001010000
3112001111222011102011100
42020323311221001100
54402110344233311
6151313531144400
713423416140205
oct2107365510120
9461458142140
10147032805456
11573a1204a59
12245b4ba5100
1310b32912b44
14718b687cac
153c5836aa56
hex223bd69050

147032805456 has 120 divisors (see below), whose sum is σ = 429589308096. Its totient is φ = 46857000960.

The previous prime is 147032805449. The next prime is 147032805463. The reversal of 147032805456 is 654508230741.

147032805456 is a `hidden beast` number, since 1 + 4 + 70 + 32 + 8 + 0 + 545 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (147032805449) and next prime (147032805463).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7518411 + ... + 7537941.

Almost surely, 2147032805456 is an apocalyptic number.

147032805456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147032805456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214794654048).

147032805456 is an abundant number, since it is smaller than the sum of its proper divisors (282556502640).

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

147032805456 is a wasteful number, since it uses less digits than its factorization.

147032805456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21841 (or 21832 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 147032805456 in words is "one hundred forty-seven billion, thirty-two million, eight hundred five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 2273 3312 4546 6819 9092 13638 18184 19531 20457 27276 36368 39062 40914 52279 54552 58593 78124 81828 104558 109104 117186 156248 156837 163656 175779 209116 234372 312496 313674 327312 351558 418232 449213 468744 470511 627348 703116 836464 898426 937488 941022 1254696 1347639 1406232 1796852 1882044 2509392 2695278 2812464 3593704 3764088 4042917 5390556 7187408 7528176 8085834 10781112 16171668 21562224 32343336 44393963 64686672 88787926 133181889 177575852 266363778 355151704 399545667 532727556 710303408 799091334 1021061149 1065455112 1598182668 2042122298 2130910224 3063183447 3196365336 4084244596 6126366894 6392730672 8168489192 9189550341 12252733788 16336978384 18379100682 24505467576 36758201364 49010935152 73516402728 147032805456