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6150400071540 = 2235127958784191
BaseRepresentation
bin101100110000000000001…
…1010010101011101110100
3210202222020221210210202020
41121200000122111131310
51301232004404242130
621025242122313140
71203231435012564
oct131400032253564
923688227723666
106150400071540
111a6140855523a
12833ba46587b0
13357c9877727a
14173976762da4
15a9ebcc41e10
hex59800695774

6150400071540 has 96 divisors (see below), whose sum is σ = 17358736195584. Its totient is φ = 1627003405440.

The previous prime is 6150400071421. The next prime is 6150400071547. The reversal of 6150400071540 is 451700040516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6150400071547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73010845 + ... + 73095035.

It is an arithmetic number, because the mean of its divisors is an integer number (180820168704).

Almost surely, 26150400071540 is an apocalyptic number.

6150400071540 is a gapful number since it is divisible by the number (60) 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 6150400071540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679368097792).

6150400071540 is an abundant number, since it is smaller than the sum of its proper divisors (11208336124044).

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

6150400071540 is a wasteful number, since it uses less digits than its factorization.

6150400071540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93917 (or 93915 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 6150400071540 in words is "six trillion, one hundred fifty billion, four hundred million, seventy-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 9587 19174 28761 38348 47935 57522 84191 95870 115044 143805 168382 191740 252573 287610 336764 420955 505146 575220 841910 1010292 1217549 1262865 1683820 2435098 2525730 3652647 4870196 5051460 6087745 7305294 10692257 12175490 14610588 18263235 21384514 24350980 32076771 36526470 42769028 53461285 64153542 73052940 106922570 128307084 160383855 213845140 320767710 641535420 807139117 1614278234 2421417351 3228556468 4035695585 4842834702 8071391170 9685669404 12107086755 16142782340 24214173510 48428347020 102506667859 205013335718 307520003577 410026671436 512533339295 615040007154 1025066678590 1230080014308 1537600017885 2050133357180 3075200035770 6150400071540