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42648155760 = 2435731818897
BaseRepresentation
bin100111101110000001…
…110011011001110000
311002002020000210021110
4213232001303121300
51144320411441020
631331533553320
73036601225350
oct475601633160
9132066023243
1042648155760
11170a5854721
128322945840
1340388b6332
1420c8186b60
15119922a8e0
hex9ee073670

42648155760 has 160 divisors (see below), whose sum is σ = 155970588672. Its totient is φ = 9433681920.

The previous prime is 42648155747. The next prime is 42648155831. The reversal of 42648155760 is 6755184624.

42648155760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 357369 + ... + 461528.

Almost surely, 242648155760 is an apocalyptic number.

42648155760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42648155760 is an abundant number, since it is smaller than the sum of its proper divisors (113322432912).

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

42648155760 is a wasteful number, since it uses less digits than its factorization.

42648155760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818951 (or 818945 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 42648155760 in words is "forty-two billion, six hundred forty-eight million, one hundred fifty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 10416 13020 17360 26040 52080 818897 1637794 2456691 3275588 4094485 4913382 5732279 6551176 8188970 9826764 11464558 12283455 13102352 16377940 17196837 19653528 22929116 24566910 25385807 28661395 32755880 34393674 39307056 45858232 49133820 50771614 57322790 65511760 68787348 76157421 85984185 91716464 98267640 101543228 114645580 126929035 137574696 152314842 171968370 177700649 196535280 203086456 229291160 253858070 275149392 304629684 343936740 355401298 380787105 406172912 458582320 507716140 533101947 609259368 687873480 710802596 761574210 888503245 1015432280 1066203894 1218518736 1375746960 1421605192 1523148420 1777006490 2030864560 2132407788 2665509735 2843210384 3046296840 3554012980 4264815576 5331019470 6092593680 7108025960 8529631152 10662038940 14216051920 21324077880 42648155760