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630191702272 = 28111814093023
BaseRepresentation
bin10010010101110100101…
…10100100000100000000
32020020122010212102221111
421022322112210010000
540311113033433042
61201301151133104
763346511041426
oct11127226440400
92206563772844
10630191702272
11223298872360
12a2175b14194
1347571962ab2
1422703d51116
15115d5712517
hex92ba5a4100

630191702272 has 144 divisors (see below), whose sum is σ = 1383691196160. Its totient is φ = 284077670400.

The previous prime is 630191702219. The next prime is 630191702279. The reversal of 630191702272 is 272207191036.

It is a super-2 number, since 2×6301917022722 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (630191702279) 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, 208464153 + ... + 208467175.

It is an arithmetic number, because the mean of its divisors is an integer number (9608966640).

Almost surely, 2630191702272 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 630191702272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691845598080).

630191702272 is an abundant number, since it is smaller than the sum of its proper divisors (753499493888).

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

630191702272 is a wasteful number, since it uses less digits than its factorization.

630191702272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 630191702272 in words is "six hundred thirty billion, one hundred ninety-one million, seven hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 181 256 352 362 409 704 724 818 1408 1448 1636 1991 2816 2896 3023 3272 3982 4499 5792 6046 6544 7964 8998 11584 12092 13088 15928 17996 23168 24184 26176 31856 33253 35992 46336 48368 52352 63712 66506 71984 74029 96736 104704 127424 133012 143968 148058 193472 254848 266024 287936 296116 386944 509696 532048 547163 575872 592232 773888 814319 1064096 1094326 1151744 1184464 1236407 1628638 2128192 2188652 2368928 2472814 3257276 4256384 4377304 4737856 4945628 6018793 6514552 8512768 8754608 9475712 9891256 12037586 13029104 13600477 17509216 18951424 19782512 24075172 26058208 27200954 35018432 39565024 48150344 52116416 54401908 70036864 79130048 96300688 104232832 108803816 140073728 158260096 192601376 208465664 217607632 223789667 316520192 385202752 435215264 447579334 770405504 870430528 895158668 1540811008 1740861056 1790317336 2461686337 3481722112 3580634672 4923372674 7161269344 9846745348 14322538688 19693490696 28645077376 39386981392 57290154752 78773962784 157547925568 315095851136 630191702272