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5755393620 = 223251272231129
BaseRepresentation
bin1010101110000110…
…00101011001010100
3112212002210021210200
411113003011121110
543241340043440
62351034020500
7262424016144
oct52703053124
915762707720
105755393620
112493851459
121147577730
137094c4372
143c8538924
1523a41bc30
hex1570c5654

5755393620 has 144 divisors (see below), whose sum is σ = 17690050560. Its totient is φ = 1514515968.

The previous prime is 5755393619. The next prime is 5755393643. The reversal of 5755393620 is 263935575.

It is a happy number.

5755393620 is a `hidden beast` number, since 5 + 7 + 553 + 93 + 6 + 2 + 0 = 666.

It is a super-2 number, since 2×57553936202 = 66249111442273408800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5097216 + ... + 5098344.

Almost surely, 25755393620 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 5755393620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845025280).

5755393620 is an abundant number, since it is smaller than the sum of its proper divisors (11934656940).

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

5755393620 is a wasteful number, since it uses less digits than its factorization.

5755393620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The square root of 5755393620 is about 75864.3105814585. The cubic root of 5755393620 is about 1792.0839227312.

The spelling of 5755393620 in words is "five billion, seven hundred fifty-five million, three hundred ninety-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 223 254 381 446 508 635 669 762 892 1115 1129 1143 1270 1338 1524 1905 2007 2230 2258 2286 2540 2676 3345 3387 3810 4014 4460 4516 4572 5645 5715 6690 6774 7620 8028 10035 10161 11290 11430 13380 13548 16935 20070 20322 22580 22860 28321 33870 40140 40644 50805 56642 67740 84963 101610 113284 141605 143383 169926 203220 251767 254889 283210 286766 339852 424815 430149 503534 509778 566420 573532 716915 755301 849630 860298 1007068 1019556 1258835 1274445 1290447 1433830 1510602 1699260 1720596 2150745 2265903 2517670 2548890 2580894 2867660 3021204 3776505 4301490 4531806 5035340 5097780 5161788 6452235 7553010 8602980 9063612 11329515 12904470 15106020 22659030 25808940 31974409 45318060 63948818 95923227 127897636 159872045 191846454 287769681 319744090 383692908 479616135 575539362 639488180 959232270 1151078724 1438848405 1918464540 2877696810 5755393620