Search a number
-
+
61340103737640 = 233257135335328463
BaseRepresentation
bin11011111001001110110110…
…00110000000000100101000
322001012001112021222220222200
431330213123012000010220
531014444013024101030
6334243131000220200
715630450644651040
oct1574473306000450
9261161467886880
1061340103737640
11185aa212476a22
126a6815876a660
13282c468379cb0
141120c3c174720
157158e4651d60
hex37c9db180128

61340103737640 has 384 divisors, whose sum is σ = 249989863818240. Its totient is φ = 12697897125888.

The previous prime is 61340103737621. The next prime is 61340103737659. The reversal of 61340103737640 is 4673730104316.

61340103737640 is a `hidden beast` number, since 6 + 134 + 0 + 103 + 7 + 376 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (61340103737621) and next prime (61340103737659).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15927952 + ... + 19400511.

It is an arithmetic number, because the mean of its divisors is an integer number (651015270360).

Almost surely, 261340103737640 is an apocalyptic number.

61340103737640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61340103737640 is an abundant number, since it is smaller than the sum of its proper divisors (188649760080600).

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

61340103737640 is a wasteful number, since it uses less digits than its factorization.

61340103737640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35328553 (or 35328546 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 61340103737640 in words is "sixty-one trillion, three hundred forty billion, one hundred three million, seven hundred thirty-seven thousand, six hundred forty".