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88208822040 = 23358943119163
BaseRepresentation
bin101001000100110100…
…1111100111100011000
322102200102110102212220
41102021221330330120
52421122424301130
6104304513104040
76241616421243
oct1221151747430
9272612412786
1088208822040
1134455642629
1215118b58020
138419a00871
1443ab08025a
152463eb7410
hex1489a7cf18

88208822040 has 128 divisors (see below), whose sum is σ = 268234675200. Its totient is φ = 23202882560.

The previous prime is 88208822027. The next prime is 88208822059. The reversal of 88208822040 is 4022880288.

It is a junction number, because it is equal to n+sod(n) for n = 88208821983 and 88208822001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4593499 + ... + 4612661.

It is an arithmetic number, because the mean of its divisors is an integer number (2095583400).

Almost surely, 288208822040 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 88208822040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134117337600).

88208822040 is an abundant number, since it is smaller than the sum of its proper divisors (180025853160).

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

88208822040 is a wasteful number, since it uses less digits than its factorization.

88208822040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19697 (or 19693 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The spelling of 88208822040 in words is "eighty-eight billion, two hundred eight million, eight hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 431 445 534 712 862 890 1068 1293 1335 1724 1780 2136 2155 2586 2670 3448 3560 4310 5172 5340 6465 8620 10344 10680 12930 17240 19163 25860 38326 38359 51720 57489 76652 76718 95815 114978 115077 153304 153436 191630 191795 229956 230154 287445 306872 383260 383590 459912 460308 574890 575385 766520 767180 920616 1149780 1150770 1534360 1705507 2299560 2301540 3411014 4603080 5116521 6822028 8259253 8527535 10233042 13644056 16518506 17055070 20466084 24777759 25582605 33037012 34110140 40932168 41296265 49555518 51165210 66074024 68220280 82592530 99111036 102330420 123888795 165185060 198222072 204660840 247777590 330370120 495555180 735073517 991110360 1470147034 2205220551 2940294068 3675367585 4410441102 5880588136 7350735170 8820882204 11026102755 14701470340 17641764408 22052205510 29402940680 44104411020 88208822040