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153053870840 = 235133141367631
BaseRepresentation
bin1000111010001010111…
…0001011101011111000
3112122001120212020002222
42032202232023223320
510001423242331330
6154151215343212
714025550302533
oct2164256135370
9478046766088
10153053870840
1159a00a13552
12257b5521b08
1311582175c20
14759d1bba1a
153eabc650e5
hex23a2b8baf8

153053870840 has 256 divisors, whose sum is σ = 393853501440. Its totient is φ = 53125632000.

The previous prime is 153053870819. The next prime is 153053870861. The reversal of 153053870840 is 48078350351.

It is a happy number.

It is a Cunningham number, because it is equal to 3912212-1.

It is an interprime number because it is at equal distance from previous prime (153053870819) and next prime (153053870861).

It is a junction number, because it is equal to n+sod(n) for n = 153053870791 and 153053870800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242557325 + ... + 242557955.

It is an arithmetic number, because the mean of its divisors is an integer number (1538490240).

Almost surely, 2153053870840 is an apocalyptic number.

153053870840 is a gapful number since it is divisible by the number (10) 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 153053870840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196926750720).

153053870840 is an abundant number, since it is smaller than the sum of its proper divisors (240799630600).

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

153053870840 is a wasteful number, since it uses less digits than its factorization.

153053870840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 153053870840 in words is "one hundred fifty-three billion, fifty-three million, eight hundred seventy thousand, eight hundred forty".