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88472077408 = 25111335935381
BaseRepresentation
bin101001001100101011…
…0001100010001100000
322110100202211012100201
41102121112030101200
52422142322434113
6104350555354544
76251264151511
oct1223126142140
9273322735321
1088472077408
11345801aa250
1215191152a54
13845c404780
1443d400aa08
15247c168cdd
hex149958c460

88472077408 has 96 divisors (see below), whose sum is σ = 204725338272. Its totient is φ = 37103923200.

The previous prime is 88472077289. The next prime is 88472077409. The reversal of 88472077408 is 80477027488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88472077409) 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, 16438878 + ... + 16444258.

It is an arithmetic number, because the mean of its divisors is an integer number (2132555607).

Almost surely, 288472077408 is an apocalyptic number.

88472077408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88472077408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102362669136).

88472077408 is an abundant number, since it is smaller than the sum of its proper divisors (116253260864).

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

88472077408 is a wasteful number, since it uses less digits than its factorization.

88472077408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 55.

The spelling of 88472077408 in words is "eighty-eight billion, four hundred seventy-two million, seventy-seven thousand, four hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 3593 4576 5381 7186 10762 14372 21524 28744 39523 43048 46709 57488 59191 69953 79046 86096 93418 114976 118382 139906 158092 172192 186836 236764 279812 316184 373672 473528 513799 559624 632368 747344 769483 947056 1027598 1119248 1264736 1494688 1538966 1894112 2055196 2238496 3077932 4110392 6155864 8220784 12311728 16441568 19333933 24623456 38667866 77335732 154671464 212673263 251341129 309342928 425346526 502682258 618685856 850693052 1005364516 1701386104 2010729032 2764752419 3402772208 4021458064 5529504838 6805544416 8042916128 11059009676 22118019352 44236038704 88472077408