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146666621552 = 241141434789113
BaseRepresentation
bin1000100010011000000…
…0110000101001110000
3112000120110010100021112
42020212000300221300
54400333123342202
6151213330412452
713411351466513
oct2104600605160
9460513110245
10146666621552
1157223536630
1224512431128
1310aa4ab1489
147154ba6d7a
153c36136b52
hex2226030a70

146666621552 has 320 divisors, whose sum is σ = 338558330880. Its totient is φ = 60933734400.

The previous prime is 146666621537. The next prime is 146666621567. The reversal of 146666621552 is 255126666641.

It is an interprime number because it is at equal distance from previous prime (146666621537) and next prime (146666621567).

It is a super-2 number, since 2×1466666215522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146666621552.

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, 1297934648 + ... + 1297934760.

It is an arithmetic number, because the mean of its divisors is an integer number (1057994784).

Almost surely, 2146666621552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146666621552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169279165440).

146666621552 is an abundant number, since it is smaller than the sum of its proper divisors (191891709328).

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

146666621552 is a wasteful number, since it uses less digits than its factorization.

146666621552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 50.

The spelling of 146666621552 in words is "one hundred forty-six billion, six hundred sixty-six million, six hundred twenty-one thousand, five hundred fifty-two".