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155073142784 = 21373229241
BaseRepresentation
bin1001000001101100010…
…1000110000000000000
3112211021022110212110202
42100123011012000000
510020042211032114
6155123431344332
714126566652000
oct2203305060000
9484238425422
10155073142784
115a84782343a
12260798220a8
131181460a1b1
147711452000
154079182cde
hex241b146000

155073142784 has 224 divisors, whose sum is σ = 364751112000. Its totient is φ = 65895137280.

The previous prime is 155073142753. The next prime is 155073142787. The reversal of 155073142784 is 487241370551.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1550731427842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155073142787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643456904 + ... + 643457144.

Almost surely, 2155073142784 is an apocalyptic number.

155073142784 is a gapful number since it is divisible by the number (14) 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 155073142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182375556000).

155073142784 is an abundant number, since it is smaller than the sum of its proper divisors (209677969216).

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

155073142784 is an frugal number, since it uses more digits than its factorization.

155073142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 47.

The spelling of 155073142784 in words is "one hundred fifty-five billion, seventy-three million, one hundred forty-two thousand, seven hundred eighty-four".