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5741264627424 = 2532171961718101
BaseRepresentation
bin101001110001011111000…
…0010011110011011100000
3202022212012121021210100100
41103202332002132123200
51223031102221034144
620113300042022400
71131535614063654
oct123427602363340
922285177253310
105741264627424
111913947231527
12788841aa7a00
133285255b51c1
1415bc431aca64
159e524315269
hex538be09e6e0

5741264627424 has 144 divisors (see below), whose sum is σ = 18196965193680. Its totient is φ = 1706382028800.

The previous prime is 5741264627401. The next prime is 5741264627429. The reversal of 5741264627424 is 4247264621475.

5741264627424 is a `hidden beast` number, since 5 + 7 + 4 + 1 + 2 + 6 + 4 + 627 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×57412646274242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5741264627429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30766027 + ... + 30952074.

It is an arithmetic number, because the mean of its divisors is an integer number (126367813845).

Almost surely, 25741264627424 is an apocalyptic number.

It is an amenable number.

5741264627424 is an abundant number, since it is smaller than the sum of its proper divisors (12455700566256).

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

5741264627424 is a wasteful number, since it uses less digits than its factorization.

5741264627424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61718153 (or 61718142 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 54.

The spelling of 5741264627424 in words is "five trillion, seven hundred forty-one billion, two hundred sixty-four million, six hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 68 72 76 96 102 114 136 144 152 153 171 204 228 272 288 304 306 323 342 408 456 544 608 612 646 684 816 912 969 1224 1292 1368 1632 1824 1938 2448 2584 2736 2907 3876 4896 5168 5472 5814 7752 10336 11628 15504 23256 31008 46512 93024 61718101 123436202 185154303 246872404 370308606 493744808 555462909 740617212 987489616 1049207717 1110925818 1172643919 1481234424 1974979232 2098415434 2221851636 2345287838 2962468848 3147623151 3517931757 4196830868 4443703272 4690575676 5924937696 6295246302 7035863514 8393661736 8887406544 9381151352 9442869453 10553795271 12590492604 14071727028 16787323472 17774813088 18762302704 18885738906 19934946623 21107590542 25180985208 28143454056 33574646944 37524605408 37771477812 39869893246 42215181084 50361970416 56286908112 59804839869 75542955624 79739786492 84430362168 100723940832 112573816224 119609679738 151085911248 159479572984 168860724336 179414519607 239219359476 302171822496 318959145968 337721448672 358829039214 478438718952 637918291936 717658078428 956877437904 1435316156856 1913754875808 2870632313712 5741264627424