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1934219839300 = 2252731329033041
BaseRepresentation
bin11100001001011000011…
…111001000011101000100
320211220120002212110100221
4130021120133020131010
5223142240234324200
64040322431514124
7256512525235630
oct34113037103504
96756502773327
101934219839300
11686330746511
12272a46388944
1311051c450968
146988c495dc0
15354a80b991a
hex1c2587c8744

1934219839300 has 144 divisors (see below), whose sum is σ = 4815431292672. Its totient is φ = 660597350400.

The previous prime is 1934219839241. The next prime is 1934219839309. The reversal of 1934219839300 is 39389124391.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1934219839309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636045780 + ... + 636048820.

It is an arithmetic number, because the mean of its divisors is an integer number (33440495088).

Almost surely, 21934219839300 is an apocalyptic number.

1934219839300 is a gapful number since it is divisible by the number (10) 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 1934219839300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407715646336).

1934219839300 is an abundant number, since it is smaller than the sum of its proper divisors (2881211453372).

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

1934219839300 is a wasteful number, since it uses less digits than its factorization.

1934219839300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The spelling of 1934219839300 in words is "one trillion, nine hundred thirty-four billion, two hundred nineteen million, eight hundred thirty-nine thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 313 350 626 700 1252 1565 2191 2903 3041 3130 4382 5806 6082 6260 7825 8764 10955 11612 12164 14515 15205 15650 20321 21287 21910 29030 30410 31300 40642 42574 43820 54775 58060 60820 72575 76025 81284 85148 101605 106435 109550 145150 152050 203210 212870 219100 290300 304100 406420 425740 508025 532175 908639 951833 1016050 1064350 1817278 1903666 2032100 2128700 3634556 3807332 4543195 4759165 6360473 6662831 8828023 9086390 9518330 12720946 13325662 17656046 18172780 19036660 22715975 23795825 25441892 26651324 31802365 33314155 35312092 44140115 45431950 47591650 61796161 63604730 66628310 88280230 90863900 95183300 123592322 127209460 133256620 159011825 166570775 176560460 220700575 247184644 308980805 318023650 333141550 441401150 617961610 636047300 666283100 882802300 1235923220 1544904025 2763171199 3089808050 5526342398 6179616100 11052684796 13815855995 19342198393 27631711990 38684396786 55263423980 69079279975 77368793572 96710991965 138158559950 193421983930 276317119900 386843967860 483554959825 967109919650 1934219839300