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425216151396 = 223417221312
BaseRepresentation
bin1100011000000001101…
…10111000111101100100
31111122120001012120210000
412030000312320331210
523431320313321041
6523201441501300
742502152436251
oct6140066707544
91448501176700
10425216151396
11154373483143
126a4b0041830
133113689559a
141681b134428
15b0da565bb6
hex6300db8f64

425216151396 has 135 divisors (see below), whose sum is σ = 1181387935497. Its totient is φ = 133338545280.

The previous prime is 425216151377. The next prime is 425216151397. The reversal of 425216151396 is 693151612524.

It is a happy number.

The square root of 425216151396 is 652086.

It is a perfect power (a square), and thus also a powerful number.

425216151396 is a `hidden beast` number, since 4 + 2 + 5 + 21 + 615 + 1 + 3 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 331050636900 + 94165514496 = 575370^2 + 306864^2 .

It is not an unprimeable number, because it can be changed into a prime (425216151397) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 199537251 + ... + 199539381.

Almost surely, 2425216151396 is an apocalyptic number.

425216151396 is the 652086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425216151396

425216151396 is an abundant number, since it is smaller than the sum of its proper divisors (756171784101).

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

425216151396 is an equidigital number, since it uses as much as digits as its factorization.

425216151396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 2153 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 425216151396 in words is "four hundred twenty-five billion, two hundred sixteen million, one hundred fifty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2131 2601 2754 3468 4262 5202 5508 6393 7803 8524 10404 12786 15606 19179 23409 25572 31212 36227 38358 46818 57537 72454 76716 93636 108681 115074 144908 172611 217362 230148 326043 345222 434724 615859 652086 690444 978129 1231718 1304172 1847577 1956258 2463436 2934387 3695154 3912516 4541161 5542731 5868774 7390308 9082322 11085462 11737548 13623483 16628193 18164644 22170924 27246966 33256386 40870449 49884579 54493932 66512772 77199737 81740898 99769158 122611347 154399474 163481796 199538316 231599211 245222694 308798948 367834041 463198422 490445388 694797633 735668082 926396844 1312395529 1389595266 1471336164 2084392899 2624791058 2779190532 3937186587 4168785798 5249582116 6253178697 7874373174 8337571596 11811559761 12506357394 15748746348 23623119522 25012714788 35434679283 47246239044 70869358566 106304037849 141738717132 212608075698 425216151396