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5451209344 = 277291931087
BaseRepresentation
bin1010001001110101…
…01101101010000000
3112001220102010102101
411010322231222000
542131002144334
62300530200144
7252041341420
oct50472555200
915056363371
105451209344
11234807a299
121081723054
1368b48cb79
14399d96480
1521d883214
hex144eada80

5451209344 has 128 divisors (see below), whose sum is σ = 12917606400. Its totient is φ = 2241921024.

The previous prime is 5451209317. The next prime is 5451209363. The reversal of 5451209344 is 4439021545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×54512093442 = 59431366624225820672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5014369 + ... + 5015455.

It is an arithmetic number, because the mean of its divisors is an integer number (100918800).

Almost surely, 25451209344 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 5451209344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458803200).

5451209344 is an abundant number, since it is smaller than the sum of its proper divisors (7466397056).

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

5451209344 is a wasteful number, since it uses less digits than its factorization.

5451209344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 5451209344 is about 73832.3055579331. The cubic root of 5451209344 is about 1759.9390199258.

The spelling of 5451209344 in words is "five billion, four hundred fifty-one million, two hundred nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 193 203 224 232 386 406 448 464 772 812 896 928 1087 1351 1544 1624 1856 2174 2702 3088 3248 3712 4348 5404 5597 6176 6496 7609 8696 10808 11194 12352 12992 15218 17392 21616 22388 24704 25984 30436 31523 34784 39179 43232 44776 60872 63046 69568 78358 86464 89552 121744 126092 139136 156716 172928 179104 209791 220661 243488 252184 313432 358208 419582 441322 486976 504368 626864 716416 839164 882644 973952 1008736 1253728 1468537 1678328 1765288 2017472 2507456 2937074 3356656 3530576 4034944 5014912 5874148 6083939 6713312 7061152 11748296 12167878 13426624 14122304 23496592 24335756 26853248 28244608 42587573 46993184 48671512 85175146 93986368 97343024 170350292 187972736 194686048 340700584 389372096 681401168 778744192 1362802336 2725604672 5451209344