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607148953472 = 2731433558403
BaseRepresentation
bin10001101010111001110…
…01011100111110000000
32011001011020212112000202
420311130321130332000
534421420113002342
61142530445104332
761602500644655
oct10653471347600
92131136775022
10607148953472
11214543835106
1299804b580a8
134533ba86ba9
14215598d5c2c
1510bd77ab332
hex8d5ce5cf80

607148953472 has 64 divisors (see below), whose sum is σ = 1277609372160. Its totient is φ = 286949537280.

The previous prime is 607148953471. The next prime is 607148953517. The reversal of 607148953472 is 274359841706.

607148953472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607148953471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1608578 + ... + 1949825.

It is an arithmetic number, because the mean of its divisors is an integer number (19962646440).

It is a 1-persistent number, because it is pandigital, but 2⋅607148953472 = 1214297906944 is not.

Almost surely, 2607148953472 is an apocalyptic number.

607148953472 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

607148953472 is an abundant number, since it is smaller than the sum of its proper divisors (670460418688).

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

607148953472 is a wasteful number, since it uses less digits than its factorization.

607148953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558491 (or 3558479 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 607148953472 in words is "six hundred seven billion, one hundred forty-eight million, nine hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 344 496 688 992 1333 1376 1984 2666 2752 3968 5332 5504 10664 21328 42656 85312 170624 3558403 7116806 14233612 28467224 56934448 110310493 113868896 153011329 220620986 227737792 306022658 441241972 455475584 612045316 882483944 1224090632 1764967888 2448181264 3529935776 4743351199 4896362528 7059871552 9486702398 9792725056 14119743104 18973404796 19585450112 37946809592 75893619184 151787238368 303574476736 607148953472