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195266680576 = 2811175376961
BaseRepresentation
bin1011010111011011001…
…1010001011100000000
3200200000110201010220121
42311312303101130000
511144401232234301
6225412042350024
720051614253632
oct2656663213400
9620013633817
10195266680576
11758a2a50270
1231a164bb314
131554b7c3556
1496455dca52
15512cb493a1
hex2d76cd1700

195266680576 has 144 divisors (see below), whose sum is σ = 458716916448. Its totient is φ = 81959321600.

The previous prime is 195266680541. The next prime is 195266680589. The reversal of 195266680576 is 675086662591.

It is a congruent number.

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, 2498736 + ... + 2575696.

It is an arithmetic number, because the mean of its divisors is an integer number (3185534142).

Almost surely, 2195266680576 is an apocalyptic number.

195266680576 is a gapful number since it is divisible by the number (16) 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 195266680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229358458224).

195266680576 is an abundant number, since it is smaller than the sum of its proper divisors (263450235872).

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

195266680576 is a wasteful number, since it uses less digits than its factorization.

195266680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77058 (or 77044 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 195266680576 in words is "one hundred ninety-five billion, two hundred sixty-six million, six hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 53 64 68 88 106 128 136 176 187 212 256 272 352 374 424 544 583 704 748 848 901 1088 1166 1408 1496 1696 1802 2176 2332 2816 2992 3392 3604 4352 4664 5984 6784 7208 9328 9911 11968 13568 14416 18656 19822 23936 28832 37312 39644 47872 57664 74624 76961 79288 115328 149248 153922 158576 230656 307844 317152 615688 634304 846571 1231376 1268608 1308337 1693142 2462752 2537216 2616674 3386284 4078933 4925504 5233348 6772568 8157866 9851008 10466696 13545136 14391707 16315732 19702016 20933392 27090272 28783414 32631464 41866784 44868263 54180544 57566828 65262928 69341861 83733568 89736526 108361088 115133656 130525856 138683722 167467136 179473052 216722176 230267312 261051712 277367444 334934272 358946104 460534624 522103424 554734888 717892208 762760471 921069248 1044206848 1109469776 1435784416 1525520942 1842138496 2218939552 2871568832 3051041884 3684276992 4437879104 5743137664 6102083768 8875758208 11486275328 12204167536 17751516416 24408335072 48816670144 97633340288 195266680576