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488941632048 = 243377328113421
BaseRepresentation
bin1110001110101110011…
…00010011101000110000
31201202001011221102020010
413013113030103220300
531002323024211143
61012341112014520
750216300204502
oct7072714235060
91652034842203
10488941632048
111793a4893a31
127a915691440
13371510c829c
14199446bbd72
15cab9db4a33
hex71d7313a30

488941632048 has 160 divisors (see below), whose sum is σ = 1319785474752. Its totient is φ = 155835187200.

The previous prime is 488941632043. The next prime is 488941632061. The reversal of 488941632048 is 840236149884.

It is not an unprimeable number, because it can be changed into a prime (488941632043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36424378 + ... + 36437798.

Almost surely, 2488941632048 is an apocalyptic number.

488941632048 is a gapful number since it is divisible by the number (48) 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 488941632048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659892737376).

488941632048 is an abundant number, since it is smaller than the sum of its proper divisors (830843842704).

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

488941632048 is a wasteful number, since it uses less digits than its factorization.

488941632048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13823 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 488941632048 in words is "four hundred eighty-eight billion, nine hundred forty-one million, six hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 73 74 111 146 148 219 222 281 292 296 438 444 562 584 592 843 876 888 1124 1168 1686 1752 1776 2248 2701 3372 3504 4496 5402 6744 8103 10397 10804 13421 13488 16206 20513 20794 21608 26842 31191 32412 40263 41026 41588 43216 53684 61539 62382 64824 80526 82052 83176 107368 123078 124764 129648 161052 164104 166352 214736 246156 249528 322104 328208 492312 496577 499056 644208 758981 979733 984624 993154 1489731 1517962 1959466 1986308 2276943 2939199 2979462 3035924 3771301 3918932 3972616 4553886 5878398 5958924 6071848 7542602 7837864 7945232 9107772 11313903 11756796 11917848 12143696 15085204 15675728 18215544 22627806 23513592 23835696 30170408 36250121 36431088 45255612 47027184 60340816 72500242 90511224 108750363 139538137 145000484 181022448 217500726 275304973 279076274 290000968 418614411 435001452 550609946 558152548 580001936 825914919 837228822 870002904 1101219892 1116305096 1651829838 1674457644 1740005808 2202439784 2232610192 3303659676 3348915288 4404879568 6607319352 6697830576 10186284001 13214638704 20372568002 30558852003 40745136004 61117704006 81490272008 122235408012 162980544016 244470816024 488941632048