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1077223705180 = 225731214835399
BaseRepresentation
bin11111010110011111000…
…10010100101001011100
310210222111120110002221221
433223033202110221130
5120122123232031210
62142511510303124
7140553415262440
oct17531742245134
93728446402857
101077223705180
11385936775647
12154934057aa4
137a77418314c
143a1d05ac820
151d04b12e1da
hexfacf894a5c

1077223705180 has 144 divisors (see below), whose sum is σ = 2673721612800. Its totient is φ = 357112679040.

The previous prime is 1077223705171. The next prime is 1077223705237. The reversal of 1077223705180 is 815073227701.

It is a super-2 number, since 2×10772237051802 (a number of 25 digits) contains 22 as substring.

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, 199520121 + ... + 199525519.

It is an arithmetic number, because the mean of its divisors is an integer number (18567511200).

Almost surely, 21077223705180 is an apocalyptic number.

1077223705180 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 1077223705180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336860806400).

1077223705180 is an abundant number, since it is smaller than the sum of its proper divisors (1596497907620).

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

1077223705180 is a wasteful number, since it uses less digits than its factorization.

1077223705180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6960 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 43.

The spelling of 1077223705180 in words is "one trillion, seventy-seven billion, two hundred twenty-three million, seven hundred five thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 961 1085 1483 1922 2170 2966 3844 4340 4805 5399 5932 6727 7415 9610 10381 10798 13454 14830 19220 20762 21596 26908 26995 29660 33635 37793 41524 45973 51905 53990 67270 75586 91946 103810 107980 134540 151172 167369 183892 188965 207620 229865 321811 334738 377930 459730 643622 669476 755860 836845 919460 1171583 1287244 1425163 1609055 1673690 2343166 2850326 3218110 3347380 4686332 5188439 5700652 5857915 6436220 7125815 8006717 9976141 10376878 11715830 14251630 16013434 19952282 20753756 23431660 25942195 28503260 32026868 36319073 39904564 40033585 49880705 51884390 56047019 72638146 80067170 99761410 103768780 112094038 145276292 160134340 181595365 199522820 224188076 248208227 280235095 363190730 496416454 560470190 726381460 992832908 1120940380 1241041135 1737457589 2482082270 3474915178 4964164540 6949830356 7694455037 8687287945 15388910074 17374575890 30777820148 34749151780 38472275185 53861185259 76944550370 107722370518 153889100740 215444741036 269305926295 538611852590 1077223705180