Search a number
-
+
109734355920 = 2435779826811
BaseRepresentation
bin110011000110010101…
…1010110001111010000
3101111020120112212012110
41212030223112033100
53244213443342140
6122224500025320
710633214430630
oct1461453261720
9344216485173
10109734355920
11425a1201852
1219325992240
13a46a46a967
14544dbd46c0
152cc3b23380
hex198cad63d0

109734355920 has 160 divisors (see below), whose sum is σ = 393694801920. Its totient is φ = 24764613120.

The previous prime is 109734355897. The next prime is 109734355931. The reversal of 109734355920 is 29553437901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 109734355920.

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, 280686 + ... + 546125.

It is an arithmetic number, because the mean of its divisors is an integer number (2460592512).

Almost surely, 2109734355920 is an apocalyptic number.

109734355920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109734355920 is an abundant number, since it is smaller than the sum of its proper divisors (283960446000).

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

109734355920 is a wasteful number, since it uses less digits than its factorization.

109734355920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826913 (or 826907 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The spelling of 109734355920 in words is "one hundred nine billion, seven hundred thirty-four million, three hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 79 80 84 105 112 120 140 158 168 210 237 240 280 316 336 395 420 474 553 560 632 790 840 948 1106 1185 1264 1580 1659 1680 1896 2212 2370 2765 3160 3318 3792 4424 4740 5530 6320 6636 8295 8848 9480 11060 13272 16590 18960 22120 26544 33180 44240 66360 132720 826811 1653622 2480433 3307244 4134055 4960866 5787677 6614488 8268110 9921732 11575354 12402165 13228976 16536220 17363031 19843464 23150708 24804330 28938385 33072440 34726062 39686928 46301416 49608660 57876770 65318069 66144880 69452124 86815155 92602832 99217320 115753540 130636138 138904248 173630310 195954207 198434640 231507080 261272276 277808496 326590345 347260620 391908414 457226483 463014160 522544552 653180690 694521240 783816828 914452966 979771035 1045089104 1306361380 1371679449 1389042480 1567633656 1828905932 1959542070 2286132415 2612722760 2743358898 3135267312 3657811864 3919084140 4572264830 5225445520 5486717796 6858397245 7315623728 7838168280 9144529660 10973435592 13716794490 15676336560 18289059320 21946871184 27433588980 36578118640 54867177960 109734355920