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550303968768 = 2933177314951
BaseRepresentation
bin10000000001000001010…
…11000010111000000000
31221121102122000002121220
420000200223002320000
533004010304000033
61100450043515040
754521021361411
oct10004053027000
91847378002556
10550303968768
111a2423275804
128a79b828a80
133cb7cb77b78
141c8c607b808
15e4ac01cbb3
hex8020ac2e00

550303968768 has 160 divisors (see below), whose sum is σ = 1515395008512. Its totient is φ = 177275904000.

The previous prime is 550303968761. The next prime is 550303968787. The reversal of 550303968768 is 867869303055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550303968761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36799693 + ... + 36814643.

Almost surely, 2550303968768 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 550303968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757697504256).

550303968768 is an abundant number, since it is smaller than the sum of its proper divisors (965091039744).

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

550303968768 is a wasteful number, since it uses less digits than its factorization.

550303968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15776 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 550303968768 in words is "five hundred fifty billion, three hundred three million, nine hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 773 992 1488 1536 1546 1984 2319 2976 3092 3968 4638 5952 6184 7936 9276 11904 12368 14951 15872 18552 23808 23963 24736 29902 37104 44853 47616 47926 49472 59804 71889 74208 89706 95852 98944 119608 143778 148416 179412 191704 197888 239216 287556 296832 358824 383408 395776 463481 478432 575112 593664 717648 766816 926962 956864 1150224 1187328 1390443 1435296 1533632 1853924 1913728 2300448 2780886 2870592 3067264 3707848 3827456 4600896 5561772 5741184 6134528 7415696 7654912 9201792 11123544 11482368 11557123 12269056 14831392 18403584 22247088 22964736 23114246 29662784 34671369 36807168 44494176 46228492 59325568 69342738 88988352 92456984 118651136 138685476 177976704 184913968 237302272 277370952 355953408 358270813 369827936 554741904 711906816 716541626 739655872 1074812439 1109483808 1433083252 1479311744 2149624878 2218967616 2866166504 2958623488 4299249756 4437935232 5732333008 5917246976 8598499512 8875870464 11464666016 17196999024 17751740928 22929332032 34393998048 45858664064 68787996096 91717328128 137575992192 183434656256 275151984384 550303968768