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9997507487430 = 2335311217981467
BaseRepresentation
bin1001000101111011100111…
…1000011110011011000110
31022101202022111010111101000
42101132321320132123012
52302244343404044210
633132442545514130
72051203361341641
oct221367170363306
938352274114330
109997507487430
113204a12384481
121155701042946
135769b794b108
14267c4c0aaa58
151250d11e5ac0
hex917b9e1e6c6

9997507487430 has 128 divisors (see below), whose sum is σ = 27542661672960. Its totient is φ = 2577879336960.

The previous prime is 9997507487417. The next prime is 9997507487441. The reversal of 9997507487430 is 347847057999.

9997507487430 is a `hidden beast` number, since 9 + 9 + 9 + 7 + 507 + 4 + 87 + 4 + 30 = 666.

It is a super-2 number, since 2×99975074874302 (a number of 27 digits) contains 22 as substring.

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, 9695557 + ... + 10677023.

It is an arithmetic number, because the mean of its divisors is an integer number (215177044320).

Almost surely, 29997507487430 is an apocalyptic number.

9997507487430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9997507487430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771330836480).

9997507487430 is an abundant number, since it is smaller than the sum of its proper divisors (17545154185530).

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

9997507487430 is a wasteful number, since it uses less digits than its factorization.

9997507487430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982731 (or 982725 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 9997507487430 in words is "nine trillion, nine hundred ninety-seven billion, five hundred seven million, four hundred eighty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1217 1395 1674 2434 2790 3651 4185 6085 7302 8370 10953 12170 18255 21906 32859 36510 37727 54765 65718 75454 109530 113181 164295 188635 226362 328590 339543 377270 565905 679086 981467 1018629 1131810 1697715 1962934 2037258 2944401 3395430 4907335 5093145 5888802 8833203 9814670 10186290 14722005 17666406 26499609 29444010 30425477 44166015 52999218 60850954 88332030 91276431 132498045 152127385 182552862 264996090 273829293 304254770 456382155 547658586 821487879 912764310 1194445339 1369146465 1642975758 2388890678 2738292930 3583336017 4107439395 5972226695 7166672034 8214878790 10750008051 11944453390 17916680085 21500016102 32250024153 35833360170 37027805509 53750040255 64500048306 74055611018 107500080510 111083416527 161250120765 185139027545 222166833054 322500241530 333250249581 370278055090 555417082635 666500499162 999750748743 1110834165270 1666251247905 1999501497486 3332502495810 4998753743715 9997507487430