Search a number
-
+
2137784154480 = 2432513228395743
BaseRepresentation
bin11111000110111101110…
…111010111100101110000
321120100222212001010002200
4133012331313113211300
5240011140220420410
64314030125343200
7310310166331242
oct37067567274560
97510885033080
102137784154480
117546a1472437
122a6397707b00
13126791037570
147567dab8092
153a91e4023c0
hex1f1bddd7970

2137784154480 has 120 divisors (see below), whose sum is σ = 7731652725888. Its totient is φ = 526223789568.

The previous prime is 2137784154463. The next prime is 2137784154511. The reversal of 2137784154480 is 844514877312.

2137784154480 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 7 + 8 + 4 + 154 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×21377841544802 (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 23 ways as a sum of consecutive naturals, for example, 114188512 + ... + 114207231.

Almost surely, 22137784154480 is an apocalyptic number.

2137784154480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137784154480 is an abundant number, since it is smaller than the sum of its proper divisors (5593868571408).

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

2137784154480 is a wasteful number, since it uses less digits than its factorization.

2137784154480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228395775 (or 228395766 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 2137784154480 in words is "two trillion, one hundred thirty-seven billion, seven hundred eighty-four million, one hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 228395743 456791486 685187229 913582972 1141978715 1370374458 1827165944 2055561687 2283957430 2740748916 2969144659 3425936145 3654331888 4111123374 4567914860 5481497832 5938289318 6851872290 8222246748 8907433977 9135829720 10277808435 10962995664 11876578636 13703744580 14845723295 16444493496 17814867954 18271659440 20555616870 23753157272 26722301931 27407489160 29691446590 32888986992 35629735908 41111233740 44537169885 47506314544 53444603862 54814978320 59382893180 71259471816 82222467480 89074339770 106889207724 118765786360 133611509655 142518943632 164444934960 178148679540 213778415448 237531572720 267223019310 356297359080 427556830896 534446038620 712594718160 1068892077240 2137784154480