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5507210496 = 28319537121
BaseRepresentation
bin1010010000100000…
…10101110100000000
3112012210210021120010
411020100111310000
542234321213441
62310250344520
7253321342164
oct51020256400
915183707503
105507210496
112376749837
12109842b140
13699c69948
143a35b2ca4
15223746116
hex148415d00

5507210496 has 144 divisors (see below), whose sum is σ = 15721957440. Its totient is φ = 1706065920.

The previous prime is 5507210491. The next prime is 5507210521. The reversal of 5507210496 is 6940127055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5507210491) 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, 769816 + ... + 776936.

It is an arithmetic number, because the mean of its divisors is an integer number (109180260).

Almost surely, 25507210496 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 5507210496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860978720).

5507210496 is an abundant number, since it is smaller than the sum of its proper divisors (10214746944).

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

5507210496 is a wasteful number, since it uses less digits than its factorization.

5507210496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7212 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5507210496 is about 74210.5821025546. The cubic root of 5507210496 is about 1765.9452114985.

The spelling of 5507210496 in words is "five billion, five hundred seven million, two hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 256 304 318 384 424 456 608 636 768 848 912 1007 1216 1272 1696 1824 2014 2432 2544 3021 3392 3648 4028 4864 5088 6042 6784 7121 7296 8056 10176 12084 13568 14242 14592 16112 20352 21363 24168 28484 32224 40704 42726 48336 56968 64448 85452 96672 113936 128896 135299 170904 193344 227872 257792 270598 341808 377413 386688 405897 455744 541196 683616 754826 773376 811794 911488 1082392 1132239 1367232 1509652 1623588 1822976 2164784 2264478 2734464 3019304 3247176 4329568 4528956 5468928 6038608 6494352 7170847 8659136 9057912 12077216 12988704 14341694 17318272 18115824 21512541 24154432 25977408 28683388 34636544 36231648 43025082 48308864 51954816 57366776 72463296 86050164 96617728 103909632 114733552 144926592 172100328 229467104 289853184 344200656 458934208 688401312 917868416 1376802624 1835736832 2753605248 5507210496