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42906132480 = 21335349171
BaseRepresentation
bin100111111101011001…
…111010000000000000
311002202012110100210210
4213331121322000000
51200332432214410
631413311154120
73046153052151
oct477531720000
9132665410723
1042906132480
1117218436422
128395215940
13407a18c693
14211053b928
1511b1bd8220
hex9fd67a000

42906132480 has 112 divisors (see below), whose sum is σ = 137291637024. Its totient is φ = 11441602560.

The previous prime is 42906132469. The next prime is 42906132497. The reversal of 42906132480 is 8423160924.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51706 + ... + 297465.

Almost surely, 242906132480 is an apocalyptic number.

42906132480 is a gapful number since it is divisible by the number (40) 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 42906132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68645818512).

42906132480 is an abundant number, since it is smaller than the sum of its proper divisors (94385504544).

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

42906132480 is an equidigital number, since it uses as much as digits as its factorization.

42906132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349205 (or 349181 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 42906132480 in words is "forty-two billion, nine hundred six million, one hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 20480 24576 30720 40960 61440 122880 349171 698342 1047513 1396684 1745855 2095026 2793368 3491710 4190052 5237565 5586736 6983420 8380104 10475130 11173472 13966840 16760208 20950260 22346944 27933680 33520416 41900520 44693888 55867360 67040832 83801040 89387776 111734720 134081664 167602080 178775552 223469440 268163328 335204160 357551104 446938880 536326656 670408320 715102208 893877760 1072653312 1340816640 1430204416 1787755520 2145306624 2681633280 2860408832 3575511040 4290613248 5363266560 7151022080 8581226496 10726533120 14302044160 21453066240 42906132480